I find it easiest to keep my body vertical while leaning the bike outward. Try to stand and weight the outside (downhill) peg.
To understand why leaning the bike outside helps on an off camber, try to visualize what happens in the opposite situation. When you lean the bike IN to a steep hill and put your weight to the inside, the contact patch of the tires will be shifted toward the sidewall, and you will slide down the hill/
By leaning the bike away from the hill, you are making the tire more perpindicular to the hill, so the tire is contacting more with its center. Obviously you can overdo this and lean too far outside ;)
As a general rule, always weight the outside peg when exiting a corner. It may not feel faster, but it is.