I think you should at least negotiate the sale of the hosue to keep the dog from getting put down...
At the very least, look for solutions that don't involve abandoning the dog. Heck, people figure out things all of the time, and when you bring a dog into your life, that is a commitmnt too.
I resolved that no matter what happened in my case, I owed it to the dogs to make sure they always had a home, and I was taking care of them.
M-47,W-40,No kids D-filed 5/27/2010 Piecing - 10/21/2010 -=Soon to be banned=-