Mine have a covered run, but the entrance (of course) is pretty muddy. The rain seems to be blowing in. I had to move some stepping stones in to be able to get in far enough to collect eggs. I usually let them out every day but haven't much since the rain started. I finally caved and let them out today. They seem to be enjoying looking for worms and bugs when the rain is light but they sure run for the coop when it gets a little heavier.......they are pretty funny to watch!
my runs are completely covered also, but Sonoma Mtn (i live near the top) is an ancient volcano, and so has quirky geology. there's a fair amount of clay in the soil, so water, once it starts seeping in, can get backed up & have nowhere to go. so the rain isn't blowing in much, but the water is coming up in the coops in odd places (like, in my main coop, the higher elevation end of the coop is inundated, but the lower end is still dry), which i think has to do with the water table rising and patterns in the underlying clay -- so it's going to be an interesting puzzle to figure out how to build in some drainage for the future.
I haven't let mine out during this storm, the rain has been pretty hard most of the time, and i keep hearing hawks in the trees -- so, the chicklets been sticking to the drier sides of the runs. the week-old chicks are lucky to still be living in their brooder in the guest bathroom indoors, warm and dry with an Ecoglow to nestle under!