It sounds like he's alone because Mom left and refuses to discuss anything with him, even who gets the house, so staying in the house may be the one thing here that's not on him. Selling it and giving her the money would have to come later in the process (she probably doesn't want to set foot in it for awhile anyway.)

And yeah, Carolyn needed to push your 3 a lot harder I think, though I doubt it would get through regardless.