<p>I would look at Case Western. It’s prestigious in math/ science and good about merit. </p>
<p>You might also want to include some good publics. Even if you don’t get aid, they may run a bit cheaper than $200K: UVA, UNC, U-Michigan, Berkeley and UCLA. </p>
<p>If you’re willing to look at a southern school full of northerners, consider Tulane-- it’s also good about merit.</p>