http://www.youtube.com/watch?v=l8PvJ5zEnwc
On top of that, and I'm not sure if it's bad technique, but I'm rolling my middle and ring fingers inwards just a bit and fretting more on the corner of my finger tips, seems to expose a little less pad and help keep from muting strings.
Still a long ways to go before I can play this with any sort of consistency, but it's probably just a matter of strength/stretching now.
Not sure if it'll help with your stubbier fingers but might be worth a try.