Virginia is a tough place for most new residents to find a quality place to hunt. There are a large number of folks that move into (and out of) NOVA and the Tidewater areas, so the public hunting areas get ugly. Private land is hard to gain permission unless you know someone well. National forest is not easy to hunt and I doubt that anyone will show the way to their best areas, but at least you can get away from other hunters and have a quiet hunt.
I have had guys tell me that they did fairly well on the military bases (Quantico, etc.). You might want to look at their web sites to read about the rules, restrictions, and process of applying for these areas. Hunt clubs are popular in Virginia but they can cost more than most want to pay for the annual dues.