OP is looking for a day trip, so is not concerned about other activities - just wants a nice beach for swimming and sitting while looking at the ocean.
Others have mentioned other beaches, but they are longer drives than he wants.
Most public beaches in FL are strictly bring your own chairs & umbrellas. Some do have rental stands or trucks on the beach.
Forgot to add - check the beach reports because even when we do not get the rain and wind, we can still get riptides as one is passing. A young man just got swept out to sea and drowned due to this as Lee passed our area several hundreds miles out to sea..