There is an active meet-up group in the DC area that is actually a bunch of dive clubs that meet up I think once a week at a bar. Joining one of those clubs will open up a lot of group trips.
From what I’ve seen most of their "shore diving" is a quarry in the south of the state. There are some dives in the Patomic, even a u-boat but thats dark water, Most consider NC their local diving.
You could probably find some year round diving if you have a drysuit or want to venture up to Mount Storm in WV but for the most part the season runs summer into fall with tropical storms blowing out the NC diving a lot, that’s why NC has so many wrecks to dive in the first place.