In hot humid climates where there's no refrigeration type A/C or using it is against personal choice, evaporative A/C is probably one step up from a fan.
It only works with good ventilation - doors and windows open. The trade-off in the tropics are mosquitoes and the need to use mosquito netting over beds = makes it hotter! (Mozzies carry nasty diseases.)
Another method is using the 'Coolgardie Safe' principle - hang a water container up over a door or window, drap a loose weave material (like curtain material or hessian) in it so it wicks the water, and let it hang so any warm breeze hitting it will create a cool breeze on the other side. Also needs a basin or trough on the floor to catch the flow.
We had canvass blinds on verandahs and hosing them down after sunset created a similar cooling effect.
Same principle as a canvas water bag traditionally hung on the front of 4WD's in Australia and Africa during the 'Empire' period.
Other techniques we use are lots of timber lattice to block sun but let breezes through, designing houses so all the bedrooms are on the shaded side of the house, and traditionally placing the kitchen in a separate building beside the main house - when wood fired stoves were commonly used.
In another thread Dale mentioned growing a useful vine like passionfruit on a trellis. Combine the lattice and vine on trellis and there's significant benefits.
Anyway, after a few seasons, if you survive the heat and mosquito-borne diseases, you'll probably acclimatise!