My first question is Are you working with a T? If you are can you work on possible communication with the one who is setting up the appt.'s and messing with the sleep schedule? If not can you set aside time to work on who might be the adult or the adults who will be responsible for the children?
I ask this because I had to learn to have teams of adults and kids. 1 or 2 adults to a few teens and children to toddlers and babies. Everyone got a job and playtime. the number of teams depended of one how many of us there were.
In my case there were alot of us. As we sorted out our teams we started sleeping like "normal" people. In terms of hours. Not in terms of how we slept. Sometimes we slept in forts built on the floor. Sometimes we slept under the bed. Sometimes we slept on the sofa with special blankets.
But everybody got their needs met and we got our sleep.
Tag teaming worked well for us. it took time and effort to set it up. it meant really accepting the way we were and working with it instead of fighting it. The more we did that, the more we were able to learn to parent ourselves and work through the damage and come out the other side whole and happy.
I hope this helps. I hope it makes sense. It's not easy. It is worth it.
Today The people who are left make a wonderful team and no one who doesn't know us really, really well has a clue we are a we.