It seems that your parents have made a generous offer. If you can snag free tuition and there are quite a few schools where you may be able to do so with your stats, it seems that your parents are willing to pay for room and board.
Did something happen where they now want to rescind their offer (you don’t want to attend a school where you may get free tuition and you are stuck on the Ivies, Duke, etc, which they have told you that they would not be paying for?)