Merit scholarships at some of those schools are more competitive than Ivy League admissions (Duke, etc). There are more opportunities as you move down say the USNWR rankings. Some of the schools do use merit as part of their NPCs, any questions about SAT scores or the like include that. A merit scholarship at a top 100 school is a very big achievement (and see below for the numbers). I am not always a big fan of the “free” vs the reduced price options, since there has to be a good match for students and not everyone is well Bama-bound. URochester, Case, Tulane give a lot of merit money.
Your state flagship may have selective honors programs and/or merit scholarships. You may be surprised how much of an honor it is to get into some limited enrollment programs right there, and they are often great schools at bargain prices.
Assuming you are discussing how to let your daughter graduate debt free or low debt by helping her out, here is one thing you can point out. Borrowing say 80K will result in monthly payments over 1000 a month for 10 years. Cheaper options, like your state flagship, will have lower debt and she will have more money when she is say 25 or even 30. Scholarships replace loans. So the 60-70K per year options are a future problem for her, in that she will be poor for a long long time.
Free tuition at your state flagship, wow, that would leave a lot of money for grad school or a downpayment on a house, you may be able to be generous (although I personally drew the line at offering cash to go to a cheaper school).
Her work to date will help her get scholarship money and/or a school that will be a good fit for her.
And, let her tour some schools and shop around for a school that matches her academic and non-academic interests, her personality, her dreams. Encourage her to really find a school she will engage with and be happy with.
Opening a letter from an elite suitor is a one-day happy event. Going to a school that is a good match at an affordable price is really 4 good years followed by a good life.
Depending on your particular bent and your daughters, you do have the option of applying to and turning down an elite school, but that is often difficult and demoralizing (why am I here when I could be there) or tempting (I will go there and worry about the 100k later).