There are shows and I know Dominican men who compete. Whether there are women, I don't know. Rather doubt it, but don't know for sure. In Sosua it is mainly fitness. They use the machines and free weights, but they worry about bulking up, even though told it doesn't work that way with women.
There is an American woman here, licensed train in the US, who works out regularly, but now basically maintenance rather than muscle building. She is probably closest here to your level of interest.