Fairfax Rod and Gun Club (Manassas) monthly highpower matches
You don't actually have to shoot the match. Shoot whatever you want during the match stages.
https://www.fxrgc.org/rifle/high-power-rifle-monthly/Get on the mailing list and be notified of the events. You'll need to be on the list to get the gate code to enter.
Some of the same group of people that shoot at these events also shoot at 'public' events at Quantico. Same $10 or maybe $15 'match' fee. Of course you'll need to be able to access Quantico, so all the more reason to show up to FXRGC and make friends with those that have access.