Quickest Way
 

Any suggestions on most efficient and quickest method to go from Port Orleans to Shades of Green.

If a bumpy boat ride is involved that is the quickest way to turn any shade of green in my book :))

Taxi.

Ryan, thank you. Unaware Taxis were available on Disney Property.

Often they will be sitting there, at least at the resorts I've stayed which have mostly been their higher end hotels.

Even if not sitting there they can be called by the bellman fairly quickly.