A-Best: 96 GPA? Is that on a scale of 100? (Most places either 4.0 or 5.0 is the top of the scale.)
Anyway, Ivies, sure, but there are lots of other good choices. By the way, do it have to be a "university," or will a "college" do? Lot's of the good choices call themselves colleges. And there can be advantages to going to a school without a lot of graduate students because sometimes outstanding undergrads get to do things there that only graduate students get to do elsewhere.
How about...
Hobart and William Smith
Williams
UMass (or some of its neighbors)
Pitt
SUNY (various campuses)
Fordham
Temple
Swarthmore?