Almost anywhere you go, the mention of the Cayman Islands brings up thoughts of money.
Why not take advantage of this and start an international lottery. It could easily be the largest lottery in the world. There are people and companies in the US that know how to put this together. If there is a problem with Caymanians gambling, they could be restricted from buying tickets.
There are probably many international banks in Cayman that could act as agents in every country in the world.
The potential income to Grand Cayman, is tremendous. Also, the potentials for visitor promotion could be great.