Have you run the net price calculator? Is Princeton affordable?
I agree with not putting out your familiy and you can know up front if this will happen as there is no merit aid at Princeton.
Many schools have strong humanities departments but you said you want to be in social sciences.
And many have an undergraduate focus.
Step one is affordability since there are no merit scholarships. Have your parents run the net price calculator to see if Princeton is a financial possibility for you.