October weather high on the mountain typically varies between balmy summer temps to several feet of snow. If you find a good database and calculate carefully you will find that the precise average falls somewhere in between. If you look back here just a week ahead, you can find out whether it has snowed already, but no accurate prediction of temperature.
If snow has fallen, you may find that the summit ridge has less snow depth that trail camp because high winds can strip it off while it is falling or afterwards.
It -will- be cool at night. You can quote me on that.
Good luck!
Dale B. Dalrymple