I don't know if tapering will work for you at this point. You've likely crossed a line it sounds like.
You say that your family needs mom to be sober. I think you are going to have to tell your doctor. The detox is short and can probably be done at home with some meds for just a few days. If you can't tell your husband, at least get into the doctor this week. Your medical stuff is private, and you don't have to check in somewhere if you can manage it at home.
That whole "moderation" thing? Yeah, that doesn't work for us. Please talk to your doctor this week before something terrible happens.
My animals like me better when I'm not throwing up, too. ((Hug))