I agree with working closely with your college counseling, but I also think at this stage it can be helpful to get leads on places to check out. Personally, I think it can be a good idea to start with a long list of possibles, which then as you figure out favorites, and why they are favorites, eventually gets narrowed down to a robust application list. Your counselors can help with all of that, but I think you can also get ideas from anywhere.
In that spirit, and based on what you described so far, I would second looking at Rochester and Case Western. These are very popular choices in my feederish HS for high numbers kids with those type of interests who are also looking at colleges like Yale or Duke. Your college counseling will be more informative, but these could be in the likely range for this sort of profile.
As a New Jersey resident, Rutgers is a great public choice, but I agree you might also want to look at Pitt. It just seems like a great fit given what you described, and it has a great location in an increasingly popular city. Also probably a likely (Honors harder), and they have rolling admissions so you can get an early answer, which is nice.
In fact a bunch of the other core Big 10 universities might be worth considering–again, Rutgers is a good choice already, but some people fall in love with, say, Wisconsin. It sort of depends on the college experience you want. I note even though out of state cost of attendance at such places is higher than Rutgers, it is still considerably less than at a private, so . . . .
But back to privates, I’d also suggest checking out WUSTL. If you like Gothic campuses like Yale or Duke in nice urban locations, WUSTL has one of the best, and it is the right size, right format, and specifically is popular for applicants with those interests.
A few more urban schools that seem like a good fit to me are Brown, Emory, and Rice. Again, lots of people I know cross-apply to Yale and colleges like those.