Bainer, when I read the first post in this thread, I immediately thought of that beer helmet. Thank you for posting it. I think it should now be the headgear of choice when the temperature exceeds 85 degrees.
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I still don't understand how ANYone can ever worry about appearances, credibility--whatever--when criticizing others for bringing water onto the field. When the weather requires it, I bring an igloo one-gallon jug cooler with me. It's filled usually with ice water. I place it somewhere near the backstop (depending on which field I'm working, since I'm familiar with the layouts of all the venues at which I work), somewhere discreet. I go to it whenever I need to.
For some games, I already know which teams are playing and whether they'll have water coolers. Today, for example, the home team had 3 huge Gatorade jugs filled with cold water. I left my cooler in the trunk and used it between games. I used the home team's water when needed, and they understand quite well.
You want to tell if you're getting enough liquids, aside from the usual dehydration symptoms? If your urine is nice and yellow or dark, you're not getting enough fluids. The clearer it is, the better that is for you.