Along these lines, if you opt to take a cab to the Contemporary, you might see if the driver will let you off at the guard's gate. It will cut down on about half of the walk to MK. This is probably the fastest way to MK, but be aware that you will have to cross one street (there is a light and a cross walk).
The GF isn't going to much different in cost than the TTC, Contemporary, or Poly - they are all pretty much the same distance (maybe a $1 or $2 at most). The GF is the last stop before MK on the hotel monorail loop, but there is no walking path option if the monorail is down (the monorail goes from MK -> Contemporary -> TTC -> Poly -> GF -> MK).