I wouldn't worry too much. I know many attorneys that attended UofH, STCL, SMU, etc., and now work in Austin.
Look at Baker, Botts. They hire from all those schools.
By the way, I think if you could get that LSAT up to about a 170, you might have a chance at UT in-state.
I didn't get in there this semester (2.75, 162), but I don't think my scores were near acceptable for them. So I moving out of state. I can't imagine living in any other city in Texas.