Like a drug kingpin trying to blend as a typical DEA agent is going to just have a bank account with millions? He's gonna have a mansion? No. He's gonna hide money in barrels in the desert.
And the hospital bill wasnt payed by Walt because Kingpin Hank had no money, it was to create a paper trail that pulled Walt deeper into the criminal underworld and created leverage.
Face it, from taking Walt for that ride-along, to not being able to fully explain why he was at Tucco's, to his brief stint in El Paso, to having a murder attempt on him by the cartel, to being the only guy who knew it was Gus Fring, everything involving Hank makes him a perfect patsy in this ploy, but also a truly believable brain behind the operation, including the fact that no matter what he did to stop the meth, it never stopped.
And the desert scene had me on the edge of my seat. That hug was in' intense.