If your flight out isnt early morn why not simply stay close to the place your ship pulls into. I know down FLL/MIA way that most hotels have a shuttle to/from the port area.It might less $$ too. And Im sure that there are shuttle companys that ply the Port/MCO path or Uber it
Me Id stay by the port , rent a car for the day and dive up to St Aug. Check to see what a 1 way rental would cost or should I say the drop fee and compare it to what the shuttle will cost