I think transferapps suggests that GW loosened up its transfer policies this past cycle.
Honestly, it holds that you only have NO CHANCE when you DO NOT APPLY. I weaseled my way into the T14 from a T3 transfer, I was within top 10% and my school had a better reputation than Cooley, but if we're just talking about objective metrics (e.g. median LSAT, bar passage rates...) then it was basically the same quality of academic institution.
With top 15% at Cooley and wanting to go to a DC school, I would cross my fingers and write a good application to all of them. My pure speculation is that you have a very good chance at UDC, a good chance at Catholic, an alright chance to American, a possible shot at GW, and a shot in the dark at GULC.
UMD, Baltimore and GMU are in there somewhere too... good luck.