Im having the same issue. She is so hot when I pick her up out of the coop, thats also why Ive been dunking my girl in the wadding pool. She shakes it off, wanders a bit and then back to the coop... then the cycle starts again. Oh the things we do...
I know a lady who grew up on a commercial egg farm. Her mother used to dunk the cluckies.
I had a hen overheat once - I dunked her quickly in the kids wading pool. That fixed her. She wasn't clucky anymore and I swear she had that - do it again look.