Isn't there one going past Rockingham mall?
There really aren't any close.
Mass has a couple within 20-30 minutes or so.
Black bear Campground
Pine Camping Area
NH has a few but also 20-30 minutes away
Pine Acres isn't that close but is a nice campground with a couple water slides.
Sanborn Shore Acres Campground
Sunset Park Campground
There are others but there allot Further away. Since more people are trying to get away from southerns NH to camp and get away there isn't much in this area. there are allot of Hotels many of them has deals and you Could always stay at the Wall Mart which is right around the Corner form the park.