You will probably end up paying about $10-12K per year at RH v. Trinity, possibly slightly less because you are female and they want to attract more female engineers to RH.
The shooting team has shotguns for the use of the team members, or you can bring your own. Up to you. The Coach typically has you enroll in the Trap and Skeet PE class first, so you can know out your PE credit, get an A, and he can assess and improve your shooting. If he likes your skills, he will invite you to the team.
One stat which concerned me was that RH’s budget for student activities was under $40K per year. Most schools have budgets in the many hundreds of thousands to play first-run movies, attract speakers and musical performers.
For example, former Prime Minister of England David Cameron spoke at Trinity a couple weeks ago. You are not going to get that at RH, believe me.
Nonetheless, you will get a terrific education at RH. If you think you will be happy there, and can afford the higher price, you will do wonderfully. It is, however, going to be heavily education focused with little else. We saw multiple kids sleeping in the hallways with laptops in their laps between classes. Was a bit depressing, actually. And we did not visit during finals.
Finally, San Antonio >>>>>> Terre Haute. Not even close. No offense to folks from Indiana intended.
Good luck!