Before you rent any non-Disney place with a non-Disney shuttle, take a look at reviews online. We stay at Bonnet Creek b/c my parents are Wyndham owners, and I would never, ever use their buses. They don't have enough and the schedule is not very good. Every time we stay, we pass enough people for 3 busloads waiting for the single bus that cycles around. Much better for us to drive and pay for parking.
I have no idea how the Lynx system works, but it's definitely worth checking.