Mürren and Wengen were 2 villages that came to the mind
Since you are going in October and not in the summer, I think that Wengen and Mürren are great options. I stay away from this area most of the summer due to the insane amount of crowds, but fall is another story.
The views from Wengen that will include fall foliage (timing/weather permitting) are the best. Mürren is above the narrow end of the Lauterbrunnen valley with its steep cliffs. You can not see Lauterbrunnen from there. All of the iconic shots of the valley are taken from Wengen and/or the train ride up. Fall is a wonderful time to walk the various trails through the village as found here:
https://wengen.swiss/en/destination/about-wengen/walking-in-wengen.html
Männlichen closes on Oct 27th, but it sounds like you will be there earlier than that.
Even if you decide to stay in Mürren, a trip to Wengen will definitely be worth it.