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Looks like there are several campgrounds in Nags Head or Kitty Hawk, which are nearby, and have better choices of stores for supplies.

I recall seeing something about campgrounds, but the area is not so $$ in the off-season. We got an ocean-front room for $70/night in Nags Head, which is just a few miles away.

Did this recently, and still working on the pics for the trip report.

But here's a link to some more info. https://www.outerbanks.com/carova.html

It was very cool adventure for a couple, so...