Have you spoken to your high school counselor?
Here’s a 3rd party link - but you can look at each school’s financial aid portal to verify. I put a few from the schools themselves below. I also added the official UT sheet - so click on a campus and it will tell you about being low income. I even added a private - Texas Wesleyan.
Which is good? Any you can get into and afford. Obviously UT is the name and then A&M, Tech, Houston, etc. but Texas has fine colleges under the Texas name like UTSA, UTEP, etc. but also not - like Lamar, San Angelo State, etc.
I hope you get more info from others and perhaps the links below will help - but talk to your counselor at school - they likely have experience.
Texas Advance Commitment - University of Texas Admissions
Promise+ | The University of Texas System