There is a campground at the State Fairgrounds.https://www.ncstatefair.org/facilities/camping.htm
There is about 30 minutes away. Let Google be your guide.
https://www.google.com/search?q=camping+in+raleigh+nc&oq=camping+in+raleigh&aqs=chrome.1.69i57j0l3.9788j1j7&client=ms-android-boost-us&sourceid=chrome-mobile&ie=UTF-8
Well this doesn't exactly answer your question but I'm not sure. You would have to Google it and see if Raleigh has any campgrounds. I was up there strictly to see the Harley dealership.
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