Depends which lot and how long you leave it. If you're talking about leaving it in an open-air, off-campus lot until Sunday, you're probably fine. If it's a garage, you might get towed.
If it's a permit enforced lot at all other times, yes, you will get a ticket and maybe a tow depending on the lot. They don't let students park in spots they have permits for the night before and on game day. So after the game is finished (a few hours after) it reverts back to student use and normal enforcement.
So check the signs. If it's UT property or a lot I guarantee you it's permit enforced. Every possible inch of space they can milk money from they are.
Go park in the Coop lot in West Campus or maybe the Dobie. There are pay lots all around the area that you could leave it at. I respect greatly your foresight to try to prevent a DWI on a no refusal weekend where enforcement is greater than other times. Hopefully you did not risk it and either drank much less or found alternate means.
Capitol Metro to the rescue. The risk of a DWI is simply too high to drink and drive. I'll admit I'm a bit miffed at the University's policy of ticketing and towing a bare few hours after a game has ended. This seems to discourage responsible behavior. "I have to move my car or it will get towed."
I think it boils down to just what lot you are in. If it's a lot that the students will be returning to when the game is over by a couple of hours, you are a goner. So many are displaced that they cannot take up the spaces they move to or they get towed and ticketed.
An idea may be to park at one of the lots that the shuttles go to and leave your car there. One of them is a State lot at the IF fields on 51st and Guadalupe. The other is Barton Creek Mall, I think. I am assuming they still run this service.
I don't think they tow from either lot so your vehicle could be there the next day.
Day late and a dollar short, but why not park your car where you are staying the night (if its not your home) and then take a cab to the game? difficult to drink and drive when your car is elsewhere.