If you define “cool” you will get more nuanced suggestions. I actually have no idea what kind of “cool” you are referencing.
If Catholic appeals to you (building off of some of MWfan’s suggestions) I’d swap out Villanova and look at Holy Cross- in my neck of the woods, Villanova is indeed a “rich kids school” whether preppy or not- and Holy Cross attracts a much more social justice warrior/intellectual type.
Brandeis?