^ None of the elite private schools will offer merit aid, but their need-based financial aid programs are very strong. You should sit down with your parents and calculate their EFC: FinAid | Calculators | Expected Family Contribution (EFC) and Financial Aid
Colleges also have good resources to check out. Look at Princeton: Princeton University | Who Qualifies for Aid?
You might want to check out the University of Maryland as well.
What state do you live in?