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I can just about guarantee a huge snowdrift within a quarter mile of getting over the top of the ridge and on skyline.. Then its close to three mile hike to sawtooth trailhead and a little closer to buck ridge. I did that two years ago the week before memorial weekend thinking same as you but couldnt get around that snow drift .. There will be lots of snow in the treeline until you hit the open ridges that add to the adventure..
FYI, your 2200' too high.Drop down, like way down. Good luck and have fun.