May-Nov is basically thunderstorm season with Aug-Nov being Hurricane season also.
Sounds bad, but it's not that bad really.
Matter of flight planning and route selection.
Check satellite imagery in the morning to see what the trend is, satellite alows you to see the prevailing wind direction for the day.
You will soon find out which areas to avoid during which times of the day.
Lake Okeechobee (slightly SE of center Florida) actually creates quite a bit of lake effect. Depending on the wind CB's on one shore line with the other side being clear.
Shore line (East or West) tends to remain clear, once again depending on wind direction. It's not uncommon to see a WALL of Cb's about 20 miles inland with the shoreline being clear because of sea breeeze.
Get a thorough check-out and talk to local pilots.
Don't get caught in front of a moving thunderstorm, fly around the back-end.