First off WW, welcome to Virginia. I wish you the best of luck in acquiring places to hunt. I bet you will find some great people down in that area that will be more than willing to let you hunt. I live in the Northern part of the state so I really can't helo you out.
Here is a link to some of the public hunting lands down there:
http://www.dgif.virginia.gov/wmas/?region=2
I also found this WW. I hunt a public military base and would recommend you look into this property as military bases in Virginia are generally better than most public land spots:
U.S. Army Corps of Engineers
John H. Kerr Reservoir
The John H. Kerr Reservoir is a federally managed multipurpose project located on the Virginia-North Carolina border. It consists of a 50,000 acre reservoir and 55,000 acres of land surrounding the lake which offers 40,000 acres open to hunting. The U.S. Army Corps of Engineers maintains 26 wildlife management areas located around Kerr Reservoir. For more information contact:
U.S. Army Corps of Engineers
1930 Mays Chapel Road
Boydton, VA 23917
(434) 738-6143
www.saw.usace.army.mil/jhkerr/ index.htm
Also found this...it is a map of all the public land spots so that you can an idea of what you will have to work with...
http://www.dgif.virginia.gov/hunting...wmalocator.pdf