If you want urban like a GW, moreso that AU, Loyola and UMD, look at VCU and Charleston (plenty of short flights from NYC). Drexel too.
What drove you to GW as a favorite ? The urban environment or something else ? It’s very different than the other 3 you mentioned.
Of course, you might be considering the Mt Vernon campus of GW which is more traditional than the main GW haunts.