DC is a whole lot different then CH. It depends on what you are looking for. CH has a lot less funding for perks, GW being an expensive private school. I have toured and know people at both and they all seem to be busy and are "enjoying" school
My tour guide at CH said that they felt they didn't have all the bells and whistles as Wake Forest did (private school), yet they loved CH.
A few students at CH that I know have mentioned instances of conservative practices that they experienced, both socially and academically at the school that they saw as naive. These person considers themselves to be very liberal, FYI.
CH is more liberal then other southern towns, yet is definitely more conservative than DC.
Just reporting thru the grapevine. My opinion is below...
If it was me I'd choose UNC. My family lives in the south, and that is a big factor for me. I also tend to like living in a more rural rather than urban environment and there are small towns outside CH that I love.