Local Driving Permit or International Drivers Permit enough?

Hello !
I plan to visit 7 Caribbean countries in one trip and I was thinking of renting cars in most of the countries rather than take the guided tours for more flexibility ( Yes i know the roads can be tricky but I have experience )

I have a Canadian Drivers License. I am aware that to drive in most Caribbean countries I will need to purchase a Local Drivers Permit for the particular country, which costs 25 $ USD.

Instead of purchasing this local permit for each individual country, if I bring a International Drivers Permit will that be enough for the rental car companies or is the local permit mandatory?