I just don't see the point of a new costly stadium when you have the Alamodome. When you are trying to market this team as "San Antonio's team" then a centrally located stadium with lots of modern upgrades makes more sense to me than trying to build smaller (and probably cheap) stadium on campus just to host 6 or 7 games when so many students are still commuters anyway.
UTSA still has issues fundraising so that money would be much better spent elsewhere. Plus, I think the Alamodome is actually a recruiting plus for UTSA. It's still fairly impressive compared to most other mid-major conference stadiums.