We've driven out to the coast looking for beaches and been quite disappointed. Tried Daytona, Clearwater, St Petes and New Smyrna Beach.
The exception was Vero Beach when we drove to the Disney Hotel there, Disney's Vero Beach Resort. We had a few hours on their deserted beach, (with lifeguards), then a great lunch in one of the hotel restaurants. Only regret was that we didn't book a room for the night but I would next time. I think it was about a 1-2 hour drive from Orlando.