Hello. I have a 3.75, 30Q MCAT and am not URM. My TMDSAS GPA is 3.65/3.55. I interviewed at UT-Houston, TT-Lubbock, TT-El Paso, UT-San Antonio, and Texas A&M. So yes it is possible to get interviews at those places with 3.7/30. I have been accepted to A&M and am waiting for Feb 1 to see if I match to either UT-Houston or UT-SA.
It seems like the UT schools look at the typical application components. EC's, clinical experience, MCAT/GPA, and non-medical service. UT-Southwestern likes applicants with research...and I think UTMB is trying to improve their research program from what I've heard.
When you are applying to Texas schools, don't forget to apply to all of them. It makes no sense to fill out the TMDSAS and not check the boxes for A&M and the Texas Tech Schools. There are too many fools out there who fill out the entire TMDSAS just to apply to UT-Houston UT-Southwestern. That's not smart unless you have shoo-in numbers. And it wouldn't be a bad idea to include TCOM if you want.