I don't know the answer to your question other than cab (then getting back would be annoying) or taking a bus to downtown disney and then hiking it.
I would ask Chip 'n Dale Express by PM or e-mail..........he knows all kinds of stuff and he works with transportation at Pop Century..........I am a groupy of his but he doesn't know that...........I used a bunch of info he had shared and I would say "Chip 'n Dale Express says this, Chip 'n Dale Express says that." My husband finally said, are you making this stuff up or what---who is Chip 'n Dale Express???? It was funny.
Grits