What Ivy League schools would give you an experience most similar to that of Hogwarts?

Childish question? Yes probably but a friend asked me I didn’t have an answer. Would love to hear opinions.Which Ivy League schools look the most like Hogwarts? And which schools have the same or similar House system?

Princeton has the most gothic look to it. I don’t know of any school that has few enough students to do a ‘house rivalry’ like Hogwarts. But all schools will try to instill a sense of community.