Just guessing but going thru Epcot besides costing you admission if you are not an AP holder is a long way to go...you would take the boat to International Gateway then a long walk thru Epcot to the monorail, wait for the monorail, change to the resort monorail and then get off at Contemporary which I believe is the last stop...
Take the bus to MK and then the monorail to Contemporary--first stop...that would be my bet...though I have never done it.
Paul