It might help if you post more details about the
boat.
This is a half day north of Norfolk called "Severn River Marina" (not the Severn River in
Annapolis it's the real one).
Severn River Marina Home
Wormley Creek in Yorktown is another one that is
cheap. Severn River isn't that near the bus line but hitching a ride in and out isn't that hard. With the
money you save in slip
fees you could rent a car anytime you came. The nice part of this marina is all the slips are big so you can be sure you'll ride out a nasty storm easy. I
rode out Isabelle there. It's a big yard so you can haul and do
work yourself easily as well as hire anything done you might want.
For a
cheap marina you need to be not around Norfolk, Portsmouth, Virginia beach or Hampton. Once you get north of the James River the next places are in and around the York River. Since I live here the above are the cheapest I know of for a very long way. North of that is Deltaville and they are not all that cheap since folks from Richmond like that location and you are a full day sail away from Norfolk. Solomons I don't think is cheap and now you are two long days away from Norfolk. You will find the farther north you go the more expensive are the slips.
I would not want to leave my boat south of Norfolk for the summer. The
hurricane risk increases a whole lot once you get to NC.
Draft can be an issue in many places. The Severn is deep
water all the way as would be several others. Wormley Creek is only 4 ft -6 in. low tide.