Part of the income for the island are the cruise ship stop over drop offs. Of course all of the shops at those ports are pretty much owned by the cruise ships, so they are getting the majority of the income. The Jewish community there pretty much own the ports.
I am a tad bit confused as to how on earth they got back on Haiti and got citizenship after the Haitians murdered everyone white, or even partially white. The wikipedia article suggest this involved Jewish pirates, and then pressure from the British government to allow Jews to own property in Haiti.
It appears they survive on that island by having the rich ones fund a gang and politician for protection. Which is all fine and dandy for them up until everything turns to shit, and maybe those gang that was providing protecting starts to think that maybe they could just take the port and Jewish resources for themselves. Previously buying off the politicians and the police were enough to keep their pet gang in check to not think they could just take everything for themselves.
In addition to the port, some kind businessmen had set up a T-shirt manufacturing plant after the last hurricane. Realistically being a source for cheap low skilled labor is about the best they can hope for IF they stay stable enough to allow those types of businesses to function.
As income, there are also gated beach resorts for people like Connan O'Brian to brag about how safe and wonderful Haiti is (For Connan it was a good thing the vast majority of Haitians can't swim).
Other than that, I expect they subsite off of charity aid that probably becomes much more flush after they get hit with hurricanes.
The population expands to meet the availability of food. So just giving them food only expands the problem in the long term.
The only pressure relief they get is the few that escape. Haiti to live in the US, death by killing each other, and periodic hurricanes wiping them out.
Outside of providing free birth control, about the only other way to really help them out is to provide free return trips to Africa where there is more land.
They can't go on the Dominican Republic plan because they keep on killing off all the white and mixed race people.