In New Hampshire try the White Mountains. (Franconia Notch, The Cog Railroad, Mt. Washington Auto Road, The Flume) There are a bunch of state and private campgrounds in this area, but you will need to reserve some sites now especially for the weekends.
In Vermont check out: Ben & Jerry's Ice Cream plant tour and Cold Hollow Cider Mill near Stowe. The New England Maple Mus., VT. Marble Mus. and White Rocks Nat'l Rec Area
all near Rutland.
Here are a few campground pix's:
Lake Dunmore Kampersville
Private campground located between Rutland and Burlington VT. Has a nice pool area, bingo every night, water activities on Lake Dunmore. Very popular park, may get noisy on the weekends. The sites near the front of the campground are large and a little less noise. Need to reserve now for summer weekends.....
Half Moon State Park
Located on the western side of VT about a half hour west of Rutland. All VT. State Parks do not have electric, but do have very clean shower houses, water and dump stations.
Located about a mile from the Ben & Jerry's Ice Cream plant tour near Stowe, it is about the only nice private GC in the area. The grassy sites are so lush you can lay down on the lawn and take a nap. We were there for 3 nights and the grass was cut twice while we were there this past Aug. There are 2-3 state parks in the area but Smugglers Notch SP is very tight/ small sites, Little River SP. is located about 20 minutes from Stowe, there are many nice large sites there, and Elmore SP. is about 20 minutes north of Stowe. so so sites.....
Lake St Catherine
State Park is located on the western border of VT. 30 minutes west of Rutland. Nice large sites here.
Gifford Woods SP
about 10 minutes east of Rutland. There are a few large sites, but not many.....Located on the AT. (Appalachian Trail) so you get to watch the thru-hikers stroll thru.