- Yes, if the kid is comfortable there and can see the place as her home for the next four years. Since the kid can feel that way about more than one school, I would start the revisits with the school offering the best FA. If it feels good, stop there and enroll.
- No, if the kid doesn't feel comfortable there. In that case, move on to the next-best FA school. I wouldn't force a BS decision on a child no matter the reason - financial, prestige, whatever. It's her who will be living there, and occasionally it gets tough even when you love your school.
I would encourage a very frank conversation between the kid and parents when the decision is being made. If opinions differ, I’d go with the kid’s choice, even if she can’t articulate very clearly her gut feeling about a place (as long as the choice is financially feasible, of course). I think it takes lots of trust on both sides for a good compromise between personal preferences and financial realities.