I did a tournament in Beaumont TX. As I walked in I was given an insulated water jug and I put 2 part water and 1 part power aid (or gatorade)
I drank between innings and had another small cooler with an ice cold rag with a little amonia in the water (don't put that on your head). I put that rag around my neck between innings. If you keep the rag on you it will open your pores and you will sweat like a SOB.
I also have the Schutt with the cold packs. About the 4th inning I had someone put in the cold packs and it was just as nice as working in Minnesota in the spring. (that is an overstatement)
As far as partners going down during a game I think that would be a bad example for the kids.