I've been thinking about your question and want to research this in detail. One thing that comes to mind, if you mean by "family care plan" how you can communicate with the nursing home staff about your mother, I wonder if you could talk with them on the phone or meet the staff in the lobby to discuss her treatment.
As regards a family care plan for yourself, and even as regards a family care plan for your mother, I wonder if there might be in your community a social worker who could act as a liaison in either your treatment or her treatment.
In the book Getting Your Life Back Together When You Have Schizophrenia, it suggested you create a Treatment Team. Chapter 5 in that book, titled The Collaborative Cure, talks about creating a Team.
You would choose a Team Leader. In this chapter, it talked about a social worker who started a new career as a Team Leader in this regard.
So the immediate suggestion I have now is that you try to find someone, even if you have to pay that person, to be a Team Leader for either your mother's care or your care. You might have to pay the Team Leader an annual fee to obtain this person's dedicated services for her or you.
It migth be worth it to check the book out of the library that I refer to and read Chapter 5. You could then take what it says and tailor it to your own situation.
I will go now to re-read your question and will continue to see what other suggestions come to mind in the coming days.