The only way to finish this achievement is to use the Skater or equip his costume. The Ice Skater is a little better for this achievement due to his extra speed and maneuverability on ice, hence the hint. However, it is very difficult.
You should try to make your speed as high as possible, then skate on the Ramp. This can let you fly quite some distance in the air without jumping. However, you need to be slow enough to turn, or else your character may tumble off the platform.