I used a tropical developer a fair amount a long time ago. The main difference was the addition of Sodium Sulphate which reduced the risk of the emulsion lifting.
As for extending the developing time, I'm not too sure about that. My take on times, and it was a long time ago, was the development times were really quite short with higher temperatures. I mainly worked between 30ºC and 32ºC as that was the local creek water temperature, which was cooler than the water in the pipes.
A special tropical developer, or developers are available, I never tried them but if my memory is correct, their developing times were only a few minutes at or around 30ºC.
I seem to recollect D76 around 8 minutes at 30ºC with Sodium Sulphate added. Around 15 minutes at 20ºC for normal developer without Sodium Sulphate.
I have around 15kg of Sodium Sulphate left from a 20kg container, you're welcome to some, but you would have to collect.