Grass mold is quite a big ball game and each mold is dissimilar to the next one. Some of those grass molds feed on high nitrogen while others love low nitrogen combined with moisture, the latter probably what you have to deal with due to your humid environment (just guessing here.)
I hope you can get it under control, Ken. Many folks invest lots of time and money into their lawns and I realize this must be an eyesore and bigtime headache for you to have to deal with.
Shoe (who is just happy to have grass growing that keeps him out of the mud during the rainy season!)