In the spring/summer when you're nuisance/ADC trapping, and the traps are already in the ground with rain coming, let 'em ride. The great thing about nuisance work is that you're not skinning water logged, muddy animals. The traps will perform slower in muddy conditions but will still catch critters. Once it has dried out, re-make the sets.
Pretty much this.
I try to make sets that carry away water and remain functional through rain. I use a method very similar to the Zaggers dream set that leaves a bowl or pocket under the trap as a sump for water. I also make my sets on a slight slope as well. Done right, I usually don't even need to do a remake once it dries.
In our clay, particularly in summer, that wet dry cycle can get some spots hard as concrete when dry so that has rendered traps inoperable.