Hi there, @Jen Fulkerson and @Jen Swanson,
I feel for you. I have killed hundreds of worms in the past. And it's only by bringing them into a shed that I've been able to keep them from the rain. In a tool shed, it has been very successful for me.
When I have gotten it soggy, I have done the following:
Give it some time to dry out. Maybe in lieu of a shed, you can cover it in a large tarp?Feed it dryer carbon-y things not so much nitrogen wet things. So paper, or sawdust, leaves as opposed to kitchen scraps. Just for a week.Fluff it up every two days or so. OK, vermicompost experts will shudder at this thought because their main goal is to increase the fungal population in a worm bin and by fluffing it up, you actually break those fungal strands. Well, I say, "when a bin is too wet, you gotta dry it out and aerate it!" So I would do this to get it back to normal.Use a compost toilet crank like this one in the link that follows. Or a pitchfork. I like the compost crank more. It's my favorite tool Compost Aerator.
Here's a photo of my bin:
Hope that is helpful. I love caring for my worm bin and I would be devasted to find out it got out of whack one day so I commiserate!
Nicky