To add to the information above:
Fairfax Rod and Gun Club in Manassas VA has a great 200yd program
FR&GC Linky
I used to shoot there as a junior back in the 70's (M1 Garand and M1A). Their range was very nice at the time, not sure now haven't been back in about 4 decades.
You must know Jeff, Marty, Donna, Denise, etc. I didn't think Fairfax was 600 yards.
SLCFSA also has high power type matches. They are shot at 100 yards.
Open to non-members.
They also hold vintage sniper rifle and antique (pre-1900) matches.