Personally, i thinks its better that you consider you and your teams health over the project. That way its not only us that gets satisfied with the game, but also for you guys to have the satisfaction of seeing your progress with less struggles. i hope you and your team good health and i hope you get an unexpeted solution and everyone is happy. :)
ps: im sure everyone in your team is happy to have such a caring and amazing boss to manage them. you really are a boss worth working for.