As for the Mountaineers Route, I would expect you will find snow in places about like the picture posted above on 10/09/18. Nothing much has fallen since that storm went through. I am sure there is some snow in the chute. You definitely will need crampons for any ice-covered places.
Benski: The pond at Trail Camp may ice-over, but you should be able to break the ice and get water. High temps at Cottonwood Lakes are in the low 40s, and that's 2k elevation lower.
