I would suggest openly telling your w that you have determined that it is impossible to keep the house without her contribution and that if she can't contribute X amt to the mortgage pmt, then you're going to have to sell it.
You should do all you can to avoid foreclosure. Maybe contact your lender and tell them you're facing some temporary financial difficulties and see if there is any way to do a workout?
I would definitely contact a realtor to get an idea about what you can get for the house. It may be more than you expect.
