Where to go?

I'm planning a holiday with my fiancee. We have a reasonable budget and like luxury. I wanted to go to Mexico but she doesn't like flying.
Where can we go with a short flight to get great weather and a nice place to stay for 2 weeks in September?
Budget £3000.
Update: Sorry- I should have said. I am in The UK- flight has to be less than say 5 hours so Florida is too far. Thanks anyway.
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