I don't know if it will be useful, but I recalled this bit from Cracking Animation p. 148 about
flying through the air:
"Another difficult part of this sequence was animating the Penguin after he has been shot up in the air and then falls to earth against a background of sky and clouds. Rather than try to show the Penguin in motion against a fixed background, we photographed him on glass with a parallel sky positioned behind him. In the following frames the Penguin is largely still, though from time to time we altered the position of his feet and the sack across his shoulder. The illusion of falling comes mainly from the sky itself, which we moved from side to side during a series of long exposures. This was a variant on the blurred-wallpaper effect which occurs earlier in the train chase."
I know you want your character to fly, not fall, Chesee, but you get the picture
If you want to go the route of digital edit, they used Apple's Shake program on COTWR and there is a little info on that here: http://www.cgw.com/ME2/dirmod.asp?sid=&nm=&type=Publishing&mod=Publications%3A%3AArticle&mid=8F3A7027421841978F18BE895F87F791&tier=4&id=EEBBF7F52A884125818E77256EEA6575
Nofby's advice of just keeping the rig out of camera view seems very good though.