Which FLL airport hotel has pre-6:00am shuttle

[TwoMateys]

We must stay overnight post cruise. Which Fort Lauderdale airport hotels have a complimentary shuttle to the FLL airport that runs about 5:00am. We are booked at one hotel but its shuttle only starts up at 6:00 and if lucky we want to avoid another taxi charge.

[xstitch cruiser]

In January we stayed at the Hilton Ft Lauderdale Airport 1870 Griffin Rd, Dania Beach FL. We took a shuttle to the airport at 4:30 am. If I'm not mistaken their shuttle ran 24 hours a day every half hour. The hotel was nice. There wasn't much around to do within walking distance. We just stayed at the hotel.