I believe there's one in Culpeper I think that is free. Probably no range masters on the premises. Or you can join the Arlington-Fairfax Chapter of the Izaac Walton League of America (IWLA) which is in Centreville. 140 acres in the southwest corner of Fairfax County with rifle/handgun 100 yard range, skeet and trap, archery, camp grounds, and a stocked fishing pond. Don't know why you wouldn't want to join something, but the NRA range is one of the best and most modern in the country. Then there is Sharp Shooters in Woodbridge. I don't think you have to be a member of that range and it would be fairly convenient to Arlington.