You can put a mister in FRONT of any air mover [outlet] and not have an issue.
Now pardon me boys, but lets have a look at a SWAMP COOLER. The electric motor sits in the middle of a rainshower onto cardboard, and is in fact INSIDE the water stream. These are open, cheap, split phase motors.
And I never saw one on a GFCI! Never saw anyone die with one either.
And they have a cheap plastic chinese submersible pump sitting in a little pool too!