Lafayette Gun Club
www.4lgc.org
They recently lifted the membership cap, I don't know how high it is now but my understanding is there is currently room.
Grafton (basically Yorktown, ~15 minutes from Ft. Eustis)

Indoor Range - Pistol calibers & .22lr only. 24/7 365 - up to 50 ft
Outdoor Range 1 - 25/50 yard - no .50 cal. (I'll have to look at the rules next time I'm there, there might be some elephant calibers not allowed either, but anything that you normally see is allowed that much I know)
Outdoor Range 2 - 100 yard - no .50cal (and again I need to double check the rules on elephant guns)
Outdoor Ranges are 10am to dusk (noon-dusk on Sundays)

Shotgun range - Trap, wobble trap, 5 stand - ROs only scheduled for weekends noonish-dusk, but an RO can open up any time before dusk and often there are retirees there on Tues/Wed/Thurs - you pay $3 per 25 clays here ($5 for non-member guests).

The only thing sold here is soda and candy from vending machines (clays aren't sold, it's a fee for use, but you can't go and buy a box of clays from them). Target frames are provided. Need to bring your own targets, staple gun/staples, guns, ammo, eye protection, ear protection.

A current member must give you a reference to join.