I would recommend looking at any schools that have the programs that you are interested in. If you are wanting to be a counselor or a therapist the best degree for you would be either a Social Worker or a Licensed Professional Counselor. Those are going to be the programs that are going to help you become what it looks like you are wanting. There are a lot of schools that have great programs for that. Once you have a degree the school you go to is not as important. I would make sure that you pick your school based on which ones that the program you need and which school you feel the most comfortable. Most of the time once you get into your major classes you will be taking them with the same people and you want to make sure you are in a place that you feel comfortable so that you can truly learn in a safe place.
If you're looking in-state, you have a lot of good options. To name a few..
1. University of Texas at Austin
2. University of Houston
3. Texas A&M University
4. Rice University