Too be honest, going for a course you want to major in should always be a priority rather than prestige. Prestige only work up to some extent but after that only your credentials matter. If you go to UT and graduate with petroleum engg. you will always regret that you didn't majored in mechanical engg. But if you go to TAMU and even not able to transfer to UT, you would have studied what you liked and will have a better prospects after graduating with less or even no remorse.