Fairfax puts you even closer to Washington DC

I meant to add, be sure to make a trip to Maryland and sample some of the famous crab cakes. There's an Irish theme pub in Annapolis...I can't for the life of me remember the name, it's just outside of the Naval Academy...but they have the best crab cakes I have ever tasted. Makes me drool just thinking about it.
Anyway, you could also head off to Chincoteague. There are some places out there where you can walk on secluded beaches, very peaceful!