Camp Hero State Park
Located in the area formerly occupied by the US Air Force Base and "Camp Hero" Army base this park has more than just picnic areas, hiking and biking trails. The entrance leads to a large parking area at the top of one of the highest "bluffs" (cliffs) in Montauk where you can see all the way to Block Island on a clear day. There is a road that leads west from the entrance, through the park to several picnic areas and areas where you can park while hiking or biking ride through some of the most scenic trails in Montauk. You can get up close to the Montauk Radar Tower and the amazingly enourmous buried gun batteries left behind from WWII (which you don't even know are there until you are almost on top of them, these "bunkers" are rumored to extend down many levels below ground, where weird mind control and time-travel experimetns are conducted by secret governments, all commonly reffered to as The Montauk Project... when you see these incredible structures you begin to understand why there are so many strange stories surrounding this area). Fee in season. No camping.
Route 27 -