I think the critical care ICU beds are going to fill pretty quickly. The ICU beds are where people who need urgent intervention go.
The most recent utilization report I could find listed for 2016 showed 5396 total beds for Bexar county, with 64.5% occupied. 1917 beds four years ago, likely before a few were scaled back due to closures or consolidations, or even just more utilization for existing due to population growth.
https://www.dshs.state.tx.us/chs/hosp/Utilization16.xls (line 60, H60 *O60)
Those 1917 beds include ALL beds of every kind, i.e. maternity etc, and is probably a bit lower in 2020. You can't really count a maternity ward bed as being "available" for a covid patient who needs a respirator, so you are probably looking at a pretty narrow slice of beds in the total that actually could be used appropriately. I doubt the "adult day-care" beds help either.
FWIW: here is the non-comprehensive list of bed types included in that total:
1. General medical-surgical care ......................(#Beds: )
2. Pediatric medical-surgical care .....................(#Beds: )
3. Obstetrics [Level of unit (1-3): ( )] ........(#Beds: )
4. Medical surgical intensive care .....................(#Beds: )
5. Cardiac intensive care .................................(#Beds: )
6. Neonatal intensive care ...............................(#Beds: )
7. Neonatal intermediate care ..........................(#Beds: )
8. Pediatric intensive care ...............................(#Beds: )
9. Burn care .................................................( #Beds: )
10. Other special care (specify: )(#Beds: )
11. Other intensive care (specify: ..........(#Beds: )
12. Physical rehabilitation .................................(#Beds: )
13. Alcoholism-drug abuse or dependency care ....(#Beds: )
14. Psychiatric care .........................................(#Beds: )
15. Skilled nursing care ....................................(#Beds: )
16. Intermediate nursing care ............................(#Beds: )
17. Acute long-term care ..................................(#Beds: )
18. Other long- term care ................................(#Beds: )
19. Other care (specify: ) ............... .(#Beds: ( )
20. Adult day care program ................................................
21. Airborne infection isolation room (# rooms ) ..........
22. Alcoholism-drug abuse or dependency outpatient services .................................................. .........................
23. Alzheimer center............................................ ..............
24. Ambulance services.......................................... ............
25. Ambulatory surgery center ............................................
26. Arthritis treatment center .............................................
27. Assisted living .................................................. ...........
28. Auxiliary .................................................. ...................
29. Bariatric/weight control services ....................................
30. Birthing room/LDR room/LDRP room ..............................
31. Blood donor center .................................................. .....
32. Breast cancer screening/mammograms ..........................
33. Cardiology and cardiac surgery services
a. Adult cardiology services ..........................................
b. Pediatric cardiology services ......................................
c. Adult diagnostic catheterization .................................
d. Pediatric diagnostic catheterization ............................
e. Adult interventional cardiac catheterization .................
f. Pediatric interventional cardiac catheterization .............
g. Adult cardiac surgery ...............................................
h. Pediatric cardiac surgery ...........................................
i. Adult cardiac electrophysiology ...................................
j. Pediatric cardiac electrophysiology ..............................
k. Cardiac rehabilitation ...............................................
34. Case management .................................................. .....
35. Chaplaincy/pastoral care services ..................................
36. Chemotherapy .................................................. ...........
37. Children’s wellness program ..........................................
38. Chiropractic services .................................................. ..
39. Community outreach .................................................. ..
40. Complementary and alternative medicine services ...........
41. Computer assisted orthopedic surgery (CAOS) ...............
42. Crisis prevention .................................................. ........
43. Dental services .................................................. ..........
44. Emergency services
a. Emergency department ..............................................
b. Pediatric emergency department ................................
c. Satellite emergency department ..................................
e. Trauma center (certified) [Level of unit (1-4): ] .................................................. ......................
45. Enabling services .................................................. .......
46. Endoscopic services
a. Optical colonoscopy ..................................................
b Endoscopic ultrasound ...............................................
c. Ablation of Barrett’s eso us .................................
e. Endoscopic retrograde cholangiopancreatography (ERCP) .................................................. ...............................
47. Enrollment (insurance) assistance services .....................
48. Extracorporeal shock wave lithotripter (ESWL) ...........
49. Fertility clinic .................................................. ......
50. Fitness center .................................................. .....
51. Freestanding outpatient care center .........................
52. Geriatric services ..................................................
53. Health fair .................................................. ..........
54. Community health education ...................................
55. Genetic testing/counseling ......................................
56. Health screenings ..................................................
57. Health research.......................................... ...........
58. Hemodialysis… .................................................. .....
59. HIV/AIDS services ..................................................
60. Home health services ..............................................
61. Ho e program .................................................. ..
62. Hospital-based outpatient care center services ...........
63. Immunization program ............................................
64. Indigent care clinic .................................................
65. Linguistic/translation services..................................
66. Meals on wheels .................................................. ...
67. Mobile health services .............................................
68. Neurological services ..............................................
69. Nutrition program .................................................. .
70. Occupational health services ....................................
71. Oncology services.......................................... .........
72. Orthopedic services ................................................
73. Outpatient surgery .................................................
74. Pain management program ......................................
75. Palliative care program........................................... .
76. Palliative care inpatient unit .....................................
77. Patient controlled analgesia (PCA) ............................
78. Patient education center ..........................................
79. Patient representative services .................................
80. Physical rehabilitation services
a. Assistive technology center ........................................
b. Electrodiagnostic services ..........................................
c. Physical rehabilitation outpatient services .....................
d. Prosthetic and orthotic services ..................................
e. Robot-assisted walking therapy ..................................
f. Simulated rehabilitation environment ...........................
81. Primary care department…………………………………..
82. Psychiatric services:
a. Psychiatric child-adolescent services ........................
b. Psychiatric consultation-liaison services ....................
c. Psychiatric education services .................................
d. Psychiatric emergency services ...............................
e. Psychiatric geriatric services ...................................
f. Psychiatric outpatient services .................................
g. Psychiatric partial hospitalization program ................
h. Psychiatric residential treatment…………………………
83. Radiology, diagnostic:
a. CT scanner .................................................. ..............
b. Diagnostic radioisotope facility......................................
c. Electron beam computed tomography (EBCT) .................
d. Full-field digital mammography (FFDM) .........................
e. Magnetic resonance imaging (MRI)................................
f. Intraoperative magnetic resonance imaging ....................
g. Magnetoencephalography (MEG) ...................................
h. Multi-slice spiral computed tomography (<64+ slice CT) .................................................. ..................
i. Multi-slice spiral computed tomography (64+ slice CT) .................................................. ..........................
j. Positron emission tomography (PET) ..............................
k. Positron emission tomography/CT (PET/CT) ...................
l. Single photon emission computerized tomography SPECT) .................................................. ...
m. Ultrasound .................................................. ..............
84. Radiology, therapeutic
a. Image-guided radiation therapy (IGRT) ............................
b. Intensity-modulated radiation therapy (IMRT) ...................
c. Proton beam therapy .................................................. ...
d. Shaped beam radiation system .......................................
e. Stereotactic radiosurgery ...............................................
85. Retirement housing .................................................. .......
86. Robotic surgery .................................................. ............
87. Rural health clinic .................................................. .........
88. Sleep center .................................................. .................
89. Social work services .................................................. ......
90. Sports medicine .................................................. ...........
91. Support groups .................................................. ............
92. Swing bed services .................................................. .......
93. Teen outreach services ................................................
Remainder here at the data call definition sheet (PDF):
https://dshs.texas.gov/chs/hosp/Forms/AHA16.pdf
So unless you have some specific data on which beds might be useful, talking about total beds is kind of ed. My guess is that the news source showing a small number of beds probably has that specific data.

If that is your figure, you think that "sports medicine" beds are going to save people who need ICU beds and ventilators?

maybe Full-field digital mammography beds?
Do tell. How many of your total are actually going to be useful here.
Bull has been called.