Sorry I can't help with the water bottle thing for sure, I know that rabbit people put them in rabbit cages and the rabbits lie next to them. The coolness and condensation helps, or so I've heard.
Since my coop is moveable (tractor) I spray down the ground before I move the coop onto it, they seem to like it.
Also, the other day I accidently soaked their food while I was filling their water, and they ran over and gobbled it up, so I've started putting a seperate pan of wetted down food and they always eat it first. I figure if nothing else, they're getting extra fluids.
One other thing I've noticed, my black star and my BR seem to be much hotter than my BO. Hmmm, maybe when I'm planning my future flock color/heat might be a consideration.....Delawares, here I come!