I want to buy a dog here but I’m concerned that certain dogs have may respiratory problems here due to the heat. Additionally, the skin type or coat may also be problematic here due to the heat and humidity, particularly since most dogs live outside in a dog house. My previous dogs were a Lhasa Apso and a Bichon Frise so I like toy group type dogs. Which type of dog is best for the climate down here?

Any breed would work, just as long as it doesn't have heavy fur or it could suffer from the heat.

i agree any breed will work, it's the training will make it perfect

The Havanese would be ideal. They originated in Cuba. Or you could go the smooth coated route, and consider Min Pins, toy Manchester, or even a Xoloitzcuintle (Mexican Hairless), which comes in a coated and hairless variety.

[mightymite]

Like vetgroomer said - there are breeds that were developed in hot climates. Here are a few:
Havanese
Maltese
Bolognese
Italian Greyhound
Saluki
Afghan
Ibizan
Cannon Dog
Carolina Dog
Pharaoh Hound
Rat Terrier