Cheesequake park is another Picnic Location from my youth. We mostly go to this park to meet friends who live a little north of it. Great for picnics and some really interesting nature trails around a beautiful lake. Lots of sports activities, basketball courts, volleyball net, tennis, etc. An overall great place to picnic.
More information about the park can be found at:
http://www.stateparks.com/cheesequake.html