Looking at the satellite view in Google Maps, there appears to be massive plots of open space dead center on campus and also to the east?

And the entire campus is far less dense than UVA (for whatever that's worth - another small city campus that's extremely picturesque albeit for different reasons). 60% of UVA students live off-campus, but there doesn't seem to be the same problem with obtaining it. Prices are higher than you'd expect in a non-college town, because it's a captive market.