Aw, dang it, Chicabee!
I was just kicking myself for not starting another coop. Of course, your rain has been coming here! Another problem, I haven't decided if I want it portable or not. If it's not - I've got the same problem you have - mud!
If it was portable, I could try to start it in the carport. There's not a lot of room but maybe I could stay out of the rain and get it started (done).
What about that? Could your DH work on a portable coop somewhere protected and move it into place later? Could you revamp your building plans to deal with an Oreegone Autumn?
Steve