I used to live in proper humid tropical cimate, and Zi found the following useful:
Close curtains in south facing rooms to keep heat out.
Buy a fan, cheapo will do. Really helps.
Get a padling pool if you have the space, and use it yourself 
Wear light, natural fibre clothing
Run cold water over the inside of your arms for a few mins, this really cools you down all over.
Have lukewarm showers (notcold)
Take it slow, don't hurry, adopt a "mañana" attitude.
Drink plenty water
It's all stuff you probably know, but then I can be surprised at friends wearing skinnies and polyester tops who then moan about heat!