Given that the world is shutting down, and it may not be a great time to make new financial commitments, could you buy yourself some time until this is all over? Some new options could come up to help you in the meantime.
It also sounds like DW could be collecting a SS benefit and earning some extra money too. (Plus whatever relief checks come in) If you both are collecting SS and have enough equity, you might be able to qualify for a HELOC. Mortgage refinancing would be a much heavier lift. Among other things, Banks don't know how to price 30-year loans right now and re-fi rates are noticeably higher than in recent years.
Pay attention to the new legislation and the benefits. It appears that there's something for everyone in there. I read that the new COVID-19 Federal relief bill will include up to 12-months mortgage deferral, expanded unemployment benefits, SBA loans to independent contractors, and of course, free money.
(FWIW, I believe you can start and stop collecting Social Security whenever you want, to go back to FT work and/or increase your long-term payout.)