Maybe you are skiing too slow and your skis have too big a turn radius and your snow is too soft. I just did this last Saturday. The cm does not hit the snow. Without further action, on 13-m skis on snow hard enough for the sidecut to make a difference, arcing, the increased tipping angle due to the legs attaching the cm to the skis causes the turn radius to be high enough that centrifugal force MV^2/R (about 3 or 4 g's at about 35 mph edit: I think speed was closer to 25 mph, could have been as low as 20 mph I didn't have GPS on me) and the down-slope component of gravity prevents any further falling despite the fact that all the force is on the outside edge. Now if you counter a bit more so you can angulate (I think that's the best way to describe it)a bit more you can get that cm down there and then bring the turn radius back down to join it.
If I'm understanding you correctly, and the downhill component of gravity is a fly in your ointment, you're developing your edge angle too late in the turn cycle. Tip more aggressively above the falline. There gravity will be on your side.
Or, if I have it all wrong, then congratulations,,, you've just invented a new transition. To initiate a transition, ski through the turn with equal weight on inside and outside ski, then simply relax the UPHILL/INSIDE leg. The edge angle will momentarily increase, then the forces will quickly step up to hurl your body across your skis and into the new turn. We'll call it ILR (Inside Leg Relaxation)