Or perhaps you prefer limes?
Guavas do quite well
This photo says it all - food plants, seafood and coconuts. More coconuts below.
They have also worked out local solutions to problems without imported inputs.
Pure white sand is piled around the banana trunks to deter pests. On home island where this photo was taken there are many magnificent stands of Bananas while on west island i struggled to find any fruiting plants. I think this success is a combination of tried and true techniques and a focus on food plants without the competition from ornamental plants that is an issue on West Island.