Might be better to not blow it on steep snow, regardless of what's on your back. You're talking about playing a zero sum game. In all my time climbing couloirs and snow, with and without skis on my back, I have not fallen. Steep snow is pretty dang easy to climb, especially in ski boots with crampons. Don't break yourself or your gear. Learn how to walk. If it's fucked up enough that you could fall you can be sure you won't be able to self arrest.