Parker Mountain is a good beginner hike in Strafford, NH. The top can be reached quickly by the Spencer Smith trail from NH-126. The view from the top is somewhat limited, but some nice foliage can be seen during the fall.
FROM PORTSMOUTH: Take exit 13 from NH-16 onto US-202 west. After about six miles get on NH-126 north. 126 will become Parker Mountain road and there will be a parking area on the left just after passing through Center Strafford.
There are no signs prohibiting camping on this mountain.