Too rich for FA but too poor for Tuition

Start laying the ground work now with your daughter about the importance of budget and affordability in general life and then in college. It’ll be easier to work with her on choosing affordable schools if she isn’t surprised by the family finances.
Make sure you aren’t inadvertently shooting yourself in the foot by putting a too much emphasis on prestige. Make sure your home is state school friendly.

Like others have said, you might be surprised what you qualify for. Hopefully, she’ll be a strong student and able to get some merit. Start saving what you can. Better to live more conservatively now, do your best to be debt free In 6 years for college.