F.J.
Look into the park district. Bolingbrook has a great play area imagination station (free). Also the Naperville childrens museum you can go and ask about Volunteering. Then oyu and your child can go and help clean up and your child can go too. Your local park district may have some great programs that are inexpensive. I know ours does and we are inBolingbrook... you can check what we have... Oh yes and the library always has free things too. Usually storytimes etc.
I know this is the most frustrating thing about staying home finding things to do for little or no cost!! Good luck on your search!!