Then you will have to work something out with a family member if you cannot afford to pay for night child care.
The courts cannot and will not force him to take the child.
You can file yourself if you know how to proceed. Go to your local court house and they ususally have foms there OR find out where your local child support office is and have them do it. In order for him to have to reimburse for the child care, the child has to actually be in it. If you do not have that expense, the court will not order him to pay any part of it.