In March we ended up having our connection from JFK to FLL canceled on Jetblue. Instead of a 1.5 hour layover we ended up spending 7+ hours at JFK, getting in to FLL at 1 AM. Not ideal by any stretch of the imagination, especially when travelling with kids. We had Go Airport Service pre-booked from FLL to the Hampton Inn in Miami. Since we had already paid for both car and hotel we would have been out a few hundred $$$. Go had a car waiting curbside (called then from JFK with the change in plan). Walked out of FLL, in to car and we were checked in and in bed a little after 2. Good news is there is little traffic at that time of night. Slept in to around 9. Hit the free breakfast. Grabbed out stuff and headed for the ship via taxi.
Cost wise it was around $90. Yes you can get cheaper as others have suggested.. Not at that time of night however.