I see this post got resurrected...
I've been to The Cove Campground range outside of Winchester 5 times now. You can shoot whatever you want, including thrown clays. Sat/sun is $12 per person, but that's for use of everything including the campground, lake, beach etc. Weekdays it's $5 per.
Nice campground but BRING A 4WD. Trust me. One guy signed in for the 'range' on the sheet, signed right back out 30 minutes later. Seems his old Camry busted something trying to make it up there and had to be wreckered.