Below are sites recommended by campsitephotos.com, sites 1, 3, 22, 28, 30, 33, 38 and 40. There are really no bad sites here.
There are also good ADA sites and multiple sites:
The Park has 6 yurts for rent:
The large, detached Group Camp is one of the best in the State Park system, and includes 2 Adirondack Shelters. Each has doors that can slide shut in cooler weather, and 8 bunkbeds.
The Group Camp is really a tight labarynth of individual sites centered around the picnic shelter:
The park also has an extensive Day Use Area with 3 covered shelters:
The Green River is a treacherous river that should be observed from the River Walk, unless of course you're an expert boater.