Easily accessed
This campground is right on one of the main roadways leading into the heart of the White Mountain National Forest (which is why I only gave if 4 stars as it can be quite noisy in the summer). The campground has pit toilets that may or may not have TP so be sure to bring your own. There are a few picnic tables floating around and fire rings.
One of the best things about this particular spot is that it is a highway leading into the Whites. You can hike a short 2+ miles into the Zealand Falls Hut (managed by the Appalachian Mountain Club) if you would like to see and/or stay in one of those facilities. Zealand Falls is near the hut and a nice spot, but even more stunning a bit further into the forest is Thoreau Falls.
There is also climbing near hear so no matter what you're looking for this campground may very well be the perfect spot for your adventure. The terrain into the woods here is quite flat and takes you through a really scenic and active beaver bog.
There are other near by summits like Sugarloaf that you can also access from the campground.