CW,
This is my first chance to comment on your convo with H yesterday. Well done!!!!

From my read ....and based on my experience with an MLC XH, I see some major points:
---you now know that one area of leverage you have with your H is your home. It sounds as though your house holds special significance to your H.
---it sounds as though the house is a thread, that in addition to your children, connects you with H. This is VERY good, and important info for you as you DB. I have followed "AliSuddenly's" thread for the last 1 1/2 years. Her BF had MLC but they got back together after 18 months and just got married 1 week ago. Her "wise mum" always told her that she should nurture the thin threads that she had with BF during their time apart...........she did and that's what brought them back together. These threads with H are a connection that OW doesn't have with your H.
--you now know that your H is willing to admit that he is not totaly happy. This is HUGE! It is remarkable that he is willing to admit this to you.
--it sounds as though he is not being really unreasonable, so that is VERY good. He is not being a total alien.

I know that you need to make your decision re: the house based on economic circumstances. I am not trying to persuade you to make any specific decision. My feedback is based on my read of your description of your meeting with H. You have good instincts. Follow your inner voice.

.......and keep being the woman that H would be a fool to leave.

I'm curious.......do you have any idea what stage of MLC your H might be in?

GAG