No Stetson should not be on the list. It is a good school, but not great. Vanderbilt and UNC Chapel Hill should be though.
I believe Univ. of Georgia and Emory University are among the best in the "Deep South."
Summary- VA is a state of many cultures, but the prevailing one is Southern, and any others are imports due to the capital
oddly, living on the west coast, when i meet people from virginia or DC and i tell them from the east coast (meaning boston) they say, me too!