Since there are no resort to resort buses, the easiest solution is to be at a theme park and then take the bus from there to the AKL.
This is the best solution for anyone who wants to eat at a Disney resort. Plan on a theme park first, then decide where to eat. For example, if you want to eat anywhere in the boardwalk area plan on doing either Epcot or the Studios since you can take the boat or walk there from either park.