In issue #11 of Woodwork, Graham Blackburn has an article on prepping stock by hand in which he states:
“… one measure of an adequately sharpened plane is that you should be able to place the plane at one end of the board, tilt the board, and watch the plane slide down the board unaided, removing a perfect shaving, feathered to nothing at its edges, as it does so.”
Do you believe everything you read? Sounds like a challenge to me. I think that a really heavy plane with a freshly-sharpened blade on a soft wood would stand the best chance.