Your daughter has some great stats; don’t get thrown for a loop that everyone on CC seems to be 1600 SAT/4.0 UW with tons of leadership positions and national awards (kidding…sort of). And all students, regardless of their GPA and test scores deserve the best guidance possible.
I highly recommend that you become familiar with the Common Data Sets for the universities which interest your family. (A quick web search with the university’s name plus “common data set” should find it.) In it you will be able to find admissions information like what percentage of the class has which GPA, rank, SAT/ACT scores, etc. It also lets you know about how many students get non-need based aid (aka merit, found in section H2A). Thus it would give you a pretty good idea as to your child’s likelihood of admission and merit aid (likelihood and average package).
According to its most recent data set, 1168 out of 2560 freshmen received merit aid averaging $19,405 (46%). TCU is going to run about $68k for tuition, room & board, so the average cost with merit aid is going to be $48k, in all likelihood going to students in the top half of the admitted class. TCU didn’t fill out the GPA section, but 40.2% of its freshmen were in the top 10% and 40.9% has ACT scores in the 30-36 range. Its ACT range is 26-31, so only 25% have higher than 31, so it seems as though there are a lot of students at that 30/31 mark. All that to say, I think your daughter would get merit aid, but probably not enough to meet your budget.