If no one has room for you, you may chose the Juta bus for $25.00 USD.

Once you are finished with customs etc, and enter into the area before leaving the arpt, ask for the Juta desk.
Since there is only you, often they put you on the bus ready to leave.(I request it, but that's just me)..its often filled with one or two all-inclusive stops so there is not alot of time spent stopping & unloading....you'll be in Negril before sunset!