Sorry, I've had to change your avatar as you can't use a forum expert one!
Can your wife still manage payments on her home? If you go BR then she will still be liable for payments on that loan.
The friend in my adversity I shall always cherish most. I can better trust those who helped to relieve the gloom of my dark hours than those who are so ready to enjoy with me the sunshine of my prosperity. – Ulysses S. Grant
Have you taken advice? Especially regarding if you have a beneficial interest in this property? Are you both living there? Have you contributed to this property financially?
I suggest you speak to an expert to go over your options