J.S.
I live outside the Cleveland area but you may have this as well. We have a place that sells playground equipment and on M-W-F they offer a ‘free’ play time. Then they charge a very small fee. They have a bunch of the wooden swing sets up and the kids just get to play and play. My son is 2 and it is perfect for him. Here is their website so you can see it. You may want to see if your area has something similar. Good luck. I have also found some malls have little play areas too. And no, I am not in any affiliated with this place. I have also done parent kid classes at the YMCA. I am going to start Gymboree classes in January. I am finishing up a music class right now.
http://www.pgworld.com/