Prince Edward-Gallion State Forest (6,461 acres)
Cumberland State Forest (16,222 acres)
Appomattox-Buckingham State Forest (19,808 acres)
More info, just click right on the number on the map for more info and a link to the specific state forest:
http://www.dof.virginia.gov/stforest...forest-map.htm
State Forests get hunted but many of them are huge it's easy to find a couple of sleeper spots on 19,000 acres and my only other suggestion is to hunt during the week any time you can. You won't see many people on a Tuesday morning hunt. And don't overlook the small ones either there is one I hunt that is less than 500 acres, bordered by crop fields and I have never seen another person hunting it.
There are a lot of WMA within a reasonable drive of Richmond, there is brand new one open this year named Mattaponi(near AP Hill) supposed to be some nice looking hilly land with lots of oaks and my personal favorite Featherfin(2800 acres). The best part about Featherfin is it is lotto hunt during firearms but during bow you can hunt it with just your license the whole archery season. Which means less pressure during gun because it's not wide open and in 3 seasons I have only seen one other bowhunter. Be ready to hike a little and they have a 4 point rule on bucks(at least one side must have 4 points).