I had the option (in VA) to petition the court for sole use of the marital home (until final settlement). Of course I would have to convince a judge that M was a threat, danger, verbally abusive, annoyance, all around PITA.... I had children in my home too, that was my best ammunition.
As it turned out M left before I pulled the trigger on that legal option, but I bring it up because in your case it might be worth exploring with a competent lawyer. Maybe even filling for that would force his hand. He might have like 30 days to respond to the court filing? Could start the ball rolling... force a move and break the stalemate?
I would file and see where it goes.