Been a long time since I've been to a public range, however...
The 1000 yarder is at Hawks Ridge, Ferguson N.C up in Wilkes county (right by Wilkesboro, about 95 minutes northwest of you).
Up in Boone is the Watauga gun club.
Reidsville apparently has a 200 yard range (private I think).
Ramsure may be your best bet. Straight down 421 south, about 1/2 hour from the Joe Koury convention center.
Do an interenet search and you'll find the info. You'll probably have to make a few calls.
Some of the information on the web page listed is old (I know for a fact).
http://www.therallypoint.org/forum/index.php?board=75.0