It is what it is, but it seems that they are willing to pay for the right school. You are more fortunate than many.
There are two approaches;
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Sit down with your parents, and go through each school on your list with the school’s net price calculator and ask them if they will pay that amount for that school. Note the yeses and nos. The risk is that they will be more conservative now then with option two and you will forgo applying to a school that you want.
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Risk disappointment and apply wherever you want, and after you are admitted, go visit the school again with your parents. At that point, they will either be willing to pay or not. Schools are very good at selling themselves to parents. Your parents may surprise you - or you will right back at the full ride.