There is no way to skip the "aclimatization" (spl) period.
I served in extremely hot and dry places. First week is hell burt once the body gets "tuned" then you know how to behave, how much you can push yourself and how much to drink : in some places we were asked to drink some 20+ liters a day- NEVER EVER skip on this. Economize in sweat but never on drinking.

We never did all those tricks with a wet shirt or a wet whatever. In dry conditions the body cools by itself provided the liquids intake is appropiate, and being too busy with tending that wet shirt, will distract you from the job you are doing.

I live in a somewhat warmish and humid place- not hell, but close.