I second going up the S climb, via the summer route.
The exit traverse as I've used it is not too high, roughly 7500' level from the obvious flat bottom of the chutes. Like this: http://www.hillmap.com/m/ag1zfmhpbGxtYXAtaGRychULEghTYXZlZE1hcBiAgIDUvPi3CQw
As heinzsd said, there will be some walking. I think some people traverse higher, but that sounds shitty since I want to ski fall line and there's an obvious flat end of the route as I've marked it.