Wow! I guess being a resident v. a non-resident really does make a big difference!
The Book of Montauk (206) says that Texas can give no more than 20% of its seats to nonresidents. On that basis, competition for out of state students has to be intense. Given that there were about 1000 acceptances last year, and assuming that the number of out-of-state acceptances is proportionate to the number of non-Texans allowed to attend, only 200 people outside of Texas are going to get in. As such, it's quite possible to be dinged by Texas but get into numerically tougher schools.
OTOH, if you're a Texas resident, you should definitely apply to UT, even with weak stats.