Harriman State Park offers primitive camping only. You biggest downside is that you have to hike in about a mile or two to get to the various sites. The advantage of this is that you are already on the trail and you will be far enough from car/street noises. There are several camping options once you begin hiking in. Make sure to bring enough supplies to last for your trip as it is a bit of a hassle to have to hike back out to your car.