Agree with everyone else. It’s great she liked the East Coast, but anyone can pay to do a summer program at Yale, and Harvard and many others.
I suggest not looking at anymore reach schools without first looking at match and safety schools. Those are the ones that really matter. Everyone likes the reach schools. She needs to find realistic schools she would be happy to attend.
I wrote it after making a similar mistake with my “average” excellent daughter, now a junior in college. My son, a HS senior, has visited no reach schools, but if he is admitted to one, he will. ETA: he did visit a couple, en route to others, but didn’t apply to those. My bad.
Hooks are actually pretty rare, and some hooks that were quite useful just a couple of years ago are becoming much less certain.