Dealing with the SFRA is a bit of a pain. You may want to look for schools outside of it. Leesburg, VA (JYO) seems to have a decent flight school though I don't have first hand experience with it. Its right on the edge of the SFRA and has special procedures for entry/exit so you don't have to file a flight plan.
The weather will have its ups and downs. If you're working on an instrument rating you're likely to have more opportunities for some actual up here.