Does my daughter have a real shot?

I'll try to keep this short. My daughter is top 3% of her class, wants to become a chemical engineer and perform in band. She's National Honors Society throughout high school and has maintained a 4+ GPA because of all honors courses. UNT has offered her a full scholarship for all 4 years plus room & board. Is there any real shot that TCU can match/beat this offer? We toured the campus last year and feel in love. We have yet to visit UNT.