Or is it NC Gamelands? You cannot carry anything over 22 rimfire OC or CC on gamelands outside of hunting seasons that allow guns. It's a stupid law and will change July 1st as far as I know. There are some gamewardens in the Wilson Creek area that will write you up and take your firearm. At least I have been told so by a realiable source.
"It is unlawful to possess a rifle or pistol larger than .22 rimfire or a shotgun shell with larger than no. 4 shot during closed gun seasons on big game—except any size steel or other nontoxic shot may be used while waterfowl or coyote hunting."
On the first page, right hand column.
Not sure about the park status, but thought I would let you know about the above info.