Given your criterion re: LGBTQ+ friendliness, how do you feel about Catholic-affiliated schools? A lot of the urban universities that fit your description and stats are Catholic. Many of these are Jesuit, and those especially tend to be progressive and welcoming to LGBTQ+ students despite the official stance of the Church. Examples: Fordham, BC, Holy Cross, U of San Francisco, the Loyolas (New Orleans, Chicago, Maryland), Seattle U, SLU, and so on. Many LGBTQ+ students are very happy at these schools, but others aren’t comfortable considering Catholic institutions. (Study abroad wise, if Spanish is your foreign language, check out SLU’s Madrid campus, which is available for semesters abroad, a 2+2 plan, or a full four-year program in Madrid. Fluency in Spanish is highly marketable in the legal profession.)
Urban schools with a co-op focus and 3+3 accelerated law programs include Northeastern, as you mentioned, and also Drexel, and U of Cincinnati.
Pitt could be a good fit, and has rolling admissions - apply when the application opens in August and you could have a very early acceptance, which is the best kind of safety! The Politics & Philosophy major, associated with the honors college, could be of particular interest: https://www.frederickhonors.pitt.edu/academics/politics-and-philosophy-major
American in DC would be worth a look. BU and GW, as you mentioned. Look at urban flagship universities - in addition to Pitt, there’s tOSU (https://ppe.osu.edu/), UMinn-Twin Cities, U of Utah, UW-Seattle, among others.
Lots of good options. How far from home are you willing to go?