This site might be helpful as you can select certain areas of CS to see which schools are stronger in those particular areas: https://drafty.cs.brown.edu/csopenrankings/
U. of Texas is a strong option and will come in at a great price. If you’re accepted into the CS major, that will be a tough option to beat particular since Austin is really growing as an additional tech hub.
If you want something completely different in terms of an experience, you could always try a place like Stanford or Carnegie Mellon, but those options will be in the $90k/year vicinity if your family is full-pay. Your family should run the Net Price Calculator at Stanford to see if it qualfiies for any need-based aid, as it’s amongst the most generous schools in defining need.
Seconding (or thirding) UT-Dallas as a solid safety for you.