Mirrorless for backpacking the PCT? Sony A6000?

[PropilotBW]

I had also looked at the OMD E5 and OMD E5II, but both have atrocious battery life from what I hear (100 shots).

For the Mark II, It's not quite that low. It's rated at 350ish. I have gotten over 500 out of one battery. I bought a second battery also.
I wouldn't discount the Olympus products.