M, I would suggest that you continue as you have been doing since the weekend. Your h is "stalling" and this happens sometimes when events over take their thinking process. It happens when they know that they've got to do something in order to reach out and ask for help, i.e., contacting his father. Your h is sitting right on the edge of the fence, but you can't shake him off of it. He's got to do this on his own.
There are plenty of them out there that have done exactly as your h. If your h didn't want to be around you and your family, he surely wouldn't come over. The ow's place is a safe haven to him as well, as he scurries back there every night. I suspect he feels like he doesn't have to be anyone special, i.e., keep up the good front of being a father and a husband. The depression still has him wearing a mask at your place. It's weaker than it's been, but he's still not willing to give it up just yet.
This has been the test of a life time! He's a very stubborn one, but God will win over in the end. The question will be how will he react to waking up at the end of this long journey?
Please take care of yourself. This is taking a lot of patience on your part, but in the end, I think it will be worth it, whether he returns or not. Let's keep the faith and pray for his safe landing and return home.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.