I dont think you can really go wrong in most places around GW/foggy bottom. Try to get the one closest to the metro. Have you spent a great deal of time in DC?
To be honest, I'm not familiar. It's a classy name, though.
Do you have a map? I think a lot of buildings are considered officially "off campus" even though they're really not off campus. Don't you get to have some say in where you're going?