Hi FT,
My AH wouldn't leave either, so I did. If he can't afford the rent, isn't that his problem? It seems like he's the one who has created the mess but he's making you suffer the consequences. If your name is on the lease, can you plan ahead to remove yourself from the lease when it comes up for renewal?
Of course moving out is not easy either, and it's definitely not fair, but if the choice is to continue living with him . . . maybe there is a peaceful separate home for you and your daughter? You might want to just look around and see what you can find that might be affordable and pleasant.
I'm not surprised that he said he won't move out. That would make his life more difficult, which of course he doesn't want. However, both As and the rest of us pay the most attention to actions, not words.