Technically hurricane season ends Nov. 30. The end of October beginning of Novemeber is a great time to be in Florida. The weather is cooling down but you can still comfortably go to the beach.
The crowds are less. There does seem to be an influx of Brits around the end of October since they have a school holiday around then. Florida schools don't really have a break at that time but do have one later in November.
My realatives like to come visit us in October/Novemeber because they find the weather great and less crowds.