I don't live in Virginia. I know there's big NRA headquarter in Fairfax, VA where they have nice indoor shooting range facility in the basement which is open to public.There's also Gun museum in the building. I've been to the museum; it's nice, however it's a museum so only old guns. It was free to enter the museum. 

I would suggest google for instructor for frist time shooting class or concealed carry permit class (and ask for first time shooters' class).  If you can't find that in your area!, then you can visit the museum in Fairfax, VA, and they have gift shop in museum, ask the person who works there for shooting instructor (I would assume they have contacts).

I hope that helps.