I lived in Northern VA most of my life, and unfortunately there are zero outdoor ranges, federal or otherwise, until you get about 60 or 70 miles outside of D.C.. I would think the nearest one to
@CQB45ACP would be Clark Bros, a gun shop and outdoor range. It's an ok place, but wouldn't be my first place to go shooting.
I currently live in the Beckley, WV, area and luckily there is an outdoor unmanned range about 20 miles away. The people there are usually pretty friendly and more importantly safe.
chris