You state that you are looking for an OOS/ “more prestigious “ school. If the school only offers need based aid and there is a non-custodial parent, take them off of your list now.
Many of the “most prestigious “schools only offer need based aid. You will be closed to full pay just based on your income alone. Add the non-custodial parent to the mix, aid will be non-existent.
Your best bet will be to chase merit scholarship money. I agree with others; she should prep to raise her score.