Boston is an awesome college city, with about 40 colleges in Boston city limits (not exactly sure on exact #). Depending on your intended major, you might want to consider Boston University, Emerson, Suffolk, Lesley, Emmanuel, etc. There’s almost 200,000 college students in Boston during the school year, and it’s truly an amazing city. Look into it!
@merc81 Worcester’s population is 3x that of Schenectady (Hartford 2x) and is also much closer to very large metropolitan centers. Schenectady is 30 minutes minimum from Albany. If we start including any schools within 30 minutes of a city, sure we can add all kinds of schools but to me that is different than “colleges in urban settings”.
OP could also look across the border at Canadian universities like University of British Columbia and McGill.
If Rochester is urban enough for the OP then URochester is another choice.
@mkat12 Then I think Post #8 has some excellent choices!
@wisteria100 College of Charleston is public , but does feel like a private in size and liberal arts background .
Not Jesuit but Marianist, U Dayton.
Macalester, Umn twin cities, College of Charleston, Eckerd, Skidmore, BU, Tulane, Illinois Wesleyan, Drake, American, Agnes Scott or Oglethorpe, Rice.
Case Western has a nice urban campus and would be a good fit for the OP.
Don’t know if anyone mentioned it yet, but consider University of Puget Sound in Tacoma.
“Macalester, Umn twin cities, College of Charleston, Eckerd, Skidmore, BU, Tulane, Illinois Wesleyan, Drake, American, Agnes Scott or Oglethorpe, Rice.”
OP said private colleges, which kills UMN Twin Cities. And you rate Skidmore as urban? I don’t, and I don’t think they do either. Unless you’re playing the “30 minutes from Albany” game, which is a stretch. To be sure, Saratoga Springs gives Skidmore a plus on location, but it’s hardly urban.
Wofford College
Saratoga Springs = urban in the ‘hip town with lots of things to do’ sense 
- guessing op doesn’t mean it in the Temple sense.
Sorry about umn-tc. I thought Macalester, Hamline, St Thomas, and moved to umn in one swift move forgetting ‘private’ :D.
Seconding case.