Pre Covid we would generally do Florida every year (I was born there, and love going 'home'). We try and do something diffferent on each trip, but we almost always spend some time on the Gulf Coast, and our favourite location is the Anna Maria Island/Sarasota areas. The beaches are incredible, seafood amazing, lots of boating activities, dolphins and manatees.
We often will do quite a lot of driving, as long as we've got downtime planned too (eg we've flown into Miami and then driven up to Georgia the next day), but be aware of how far places are from each other and how much driving you're happy to do.
If you're not interested in Orlando, I'd bypass the area altogether, fly into Miami, do Miami, the Keys, Everglades and the Gulf Coast to decompress. But if surfing and Kennedy are priorities, stay on the Atlantic Coast side, maybe take in St Augustine, where every brick of history is very carefully eked out 😂, but is still an interesting visit.