If you find one, let me know. I'm an hour south of Asheville. I did find a 400 yard range in NE Georgia that has monthly 1,000 yard matches but those are off-site. That is the Elbert County Gun Club. That is 90 minutes SW of me.
There is or was a place in Laurens County SC called SCOTG, but their website is a Facebook page that hasn't been updated in some time. If they are still running, it might be a club or a training facility.