Well, I was a CA resident who applied to Baylor, UT Southwestern and UT Houston last year. Actually, I never finished the secondary for Southwestern, so that probably doesn't count.
The only UT I would recommend applying to as an out-of-state resident would be Southwestern -- they seem to be the only UT that is willing to seriously look at out-of-state applicants, and I have heard from students there that the administration wants to try and attract more out of state applicants and students. If you have a compelling reason to be in Texas or in one of the specific med school locations (ie, family, fiance), I think that would substantially help your application. Otherwise, you honestly have little to no chance at the other Texas state schools.
Baylor is interesting -- although they are a private school, they accept state funds, and thus they are required to have at least 70% of their class filled with Texas residents. Typically they usually have 75%-85% of the class filled with TX residents. Thus, competition for out-of-state spots is extremely competitive (even at the waitlist stage, they have separate waitlists for residents and non-residents). Again, if you have a compelling reason to be in Texas or Houston, that would probably help your application. Also, I heard that Baylor is joining AMCAS this year -- if that is the case, I assume the out-of-state competition will be even worse this year (# of applications usually jumps considerably when a school joins AMCAS).
FYI -- at least last year, the UT application on the web was available starting in May. I highly recommend that you start completing it as soon as possible since the UT system starts offering interviews in August.