In reply to Will_Thomas_Harris:
I used to do this quite a lot, it's not easy and made much harder if you swap between ski mountaineering boots and climbing boots as you get used to the support and it's hard to change back to virtually no support.
However if you just ski in plastic climbing boots you do get used to it and I could ski stuff like the fly paper quite easily.I used the Silveretta binding and found them very good, releasing no problems in all planes.
I just used a cheap second hand piste ski, the approach skis are too short for deep snow, and awful on icy slopes.
As you aren't going to carry the skis I would get a half decent second hand pair, its worth it for the ease of descent, and skinning up, which is why you are doing it in the first place.
I agree with you that ski mountaineering boots aren't good for climbing,especially mixed routes.
I had another pair of skis for touring.