UTSA's permit lots at the Alamodome, Lots A, B and C, open 6.5 hours before kickoff and close 1 hour after the game ends. You need a UTSA permit for every space you use, charcoal, wood and propane grills are all fine but fryers and ground fires aren't, and drinking is 21 and over with no glass. Downtown San Antonio has plenty of paid parking too, so a permit isn't the only way to the game.
Tailgating at the Alamodome