STEM is popular pretty much everywhere that has it these days, but the wealthy privates like Emory, Rice, WashU, and Vandy still offer plenty of HASS as well.
I agree Case and Rochester are good suggestions,with a bit less hard for admissions (and also possible merit), but still excellent colleges near cities. Rochesters is maybe a little more of a HASS favorite than Case but either could be good.
I also agree Jesuit colleges almost as a rule are good choices for Humanities, good prep for law school, and very often well-located. Georgetown and BC are very hard admits, but Fordham (NYC), Loyola Marymount (LA), Santa Clara (Bay Area), Loyola Chicago, Saint Louis University, Marquette (Milwaukee) . . . there are just so many.