Our Parish has handled Bible study in several ways…
At one time there was nothing available with child care and I had several young ones, so I opened my home so that kids could just go up stairs. This worked for a while.
For a while we were able to have Bible study at the parish level in one of our retired schools, this was fantastis, the kids had their own room, we had one large group room and several places to break out into small groups. We had High school, home schooled girls to watch the kids…
NOW, they have sold the building, and become very strict about who watches the kids, even though we are in the church basement and the kids are in a little alcove where we can see and hear them, we pay a sitter for the two hours we meet. If there is a funeral, we are usually the last to know and our time is cancelled. It is sad how little this particular parish is willing to do for study. However, from our beginning with one study, we have grown to 5 different study options throughout the week.
A neighboring parish, only offers one study for each Lent and Advent, led by the priest, during CCD, when the teachers can not attend.
Good luck. I make sure I am attending every week because I know how goood it is for my soul and additude to fellowship and share in Our Lord. I hope not to discourage you, but to encourage you to be willing to fight the system if neccessary.