Indisputable beginner
I honestly don't know if there are guys at the fields in VA during the week. I imagine there are. We have a small group of "regulars" who appear at the field after work on most every night the weather is good, I can't imagine it's much different down there.
Still, you'll want to talk to their instructors about when they are available. Up here in Laurel, MD, we have "beginner night" every Tuesday night. It's a bit of a drive from Tysons (and there are clubs closer to you, that's for sure), but you're welcome if you want to make the trip. Our club allows "guest" flyers a couple of times to the field, and AMA (the insurance) is a must-have. Check out the AMA website, it has info on joining and just what the insurance covers and doesn't. If it's not on the site, you can try emailing the folks at AMA, they've always answered my email quickly and with lots of information.