It might be worth a try anyway. They may not figure your gross income the way you do. I think you are allowed to take insurance and medical bills out before you figure your gross income. Another thing is that the new loan will be for 90% of the current market value. (If you haven’t put a lot of sweat equity into the house, you could still come out on top. You could be paying less interest and paying significantly less for the house than when you originally bought it.)
Before deciding to walk away, I would check rental properties to see if I would have to pay the same or more in rent than I currently now pay on my mortgage. A foreclosure could remain on your credit for years, but if you can refinance, your credit may just look a little bumpy.
One other thing I would think about, you may find it difficult to buy a new place. Meanwhile, you could be renting for years and not even get 50% back.
It seems like they are taking advantage of people’s misfortunes, which irritates me, but it is an option to consider.
I’m still praying for you. God Bless.