The Fairfield Inn & Suites on Griffin Road does. It may cost a few bucks, but I'm pretty sure they are one of theft hotels in this area where you can park for that long. And, it's really close to the airport. Check out the website for Park/Sleep/Fly and it should be listed. But, I'm confused. We're you going to fly to Tampa or Ft. Myers, rent a car there, and drive across to Ft. Lauderdale? Wouldn't it be easier just to fly to FLL, stay the night without a rental car, and continue on with Jet Blue to St. Maarten the next day? Figure the hotel is going to be at least $250, and one-way car rentals to-and-from Ft. Lauderdale are going to cost a few bucks plus the rising cost of gas. Just a thought.