My sister does similar to what you're talking about- she stores the camper at the campground that she stays at. They don't offer towing service to/from the sites, but her boyfriend's truck is good enough for that. They'll stay for 10 days at a time and she commutes to/from work from there (which I understand isn't an option for you since MB is so far from Newport News). She loves it- she's happy with going to the same place and actually would prefer to be seasonal, this was just a cheaper option for her.
As for a storage lot- lots of us do it. My lot is ran by the town that I live in and it's fairly cheap for the spot that we have (40' spot for $70/month). It's not covered and there isn't any electricity, but it's only about 6 miles from the house. As long as I remember my keys and fifth wheel hitch, it's convenient.
The downside- there are occasional reports of folks having stuff stolen from their trailers at storage lots.