I did some undergrad time at GW, and would probably go there. The area is so nice and there's never "nothing to do." The metro station is right there, shopping and sightseeing all around. This one's a no-brainer for me.
Since I'm sure you'd get a high quality education at any of these schools, and will be burdened with loans at the end (with no scholarship or financial aid), pick the one with the most interesting surroundings (did I mention the museums?).