As a few people have noted rotation is the key, you really cannot rotate enough on heelside. When i go into the heelside i try to point my head uphill, this serves to get me more upright which seems to work better for me and helps me get a few more degrees of rotation.
Another thing you might try is during the transition instead of pull/ push try doing a more gradual pull/ release , don't extend your legs all the way.
Transition speed is also important, notice on Patrice's photo sequence he is done with the meaty part of the turn before he starts going across the fall line. I think that while you are going across the fall line the only things that should be happening is that you are in the pulling part of the sequence and maybe letting the board run a bit if you need to pick up speed.
Have faith in the technique, you might just have to throw yourself down onto the snow a few times before it clicks.
Btw good riding with you at SES and my monster IS as big as you think.