Digging deeper, I have to wonder who got Roth out of Cuba? Ola was dead, and Batista's people were running for their own lives. I suppose it could have been someone from Batista's camp, but if so that person would have had to know of the Fredo/Roth alliance. Then again hasn't it always been assumed that Questadt's being at the Batista meeting was some kind of mistake? Maybe it wasn't!
Although I can't immediately put my finger on a particular reason, I always had a strong impression that Roth's ties to Cuba stretched back decades, perhaps even to prohibition times (Cuba obviously being a prime source for the 'rumrunning' racket back in those days). If that were true I'm sure he would have had the 'local resources' to escape from Cuba when needed - more so than perhaps anyone else caught on the island at the time?
Interactive Fiction Author Current project - 1920s Prohibition novel 'Vendetta: Rise of a Gangster'
