BTW, the "some time" that the Lynx journey will take is slightly upward of 2 hours, assuming you catch the bus at MCO on time. That's about 4 times as long as a privately-hired direct vehicle will take.
Mears might take just as long, depending on how many other hotels the shuttle you are on will visit, and where those hotels are. (Different every time, it depends on where the passengers want to go.)
Depending on the day of the week, a one-day car rental w/ dropoff on-property might actually be your best bargain, and it is certainly much faster. It has the added benefit of allowing you to do a cheap grocery run, too.