All of Pisgah National Forest is in the game lands program and open to public hunting, following NC Wildlife Resource Commission (NCWRC) rules, regulation and seasons. In addition there are Wildlife Management Area (WMA) that are owned by NCWRC or leased and managed for public hunting: DuPont State Forest 10,256 acres, Sandy Mush 2,600 acres, Toxaway 11,650o acres. If you are willing to come east and/or south, off the mountain, there are others in Burke, Ashe, Wilkes counties, within one to 1 1/2 hr drive. Some are permit hunts, easy to draw for bowhunts and no pressure.
There are several archery clubs in the Asheville area, at least one traditional club. And Carolina Traditional Archers home range/base is at Maiden (about an hour away), monthly shoots or events. Check them out at: thecta.org
Send me an email or PM for more information.
Dennis Allman