Agree with George above - you really need a bag, not a strap for the recorder. There are a lot of options, and you don't need to spend big bucks. I could write a lot about straps, but the bag comes first. Or maybe you have a bag and have not mentioned it. A lot of cheap bags have cheap strap attachment points. That does not mean they are weak, but...
From your post, I can't tell the circumstances of this mountain shoot. Whatever you do, test it. Hike with it in the area around your home in the exact config, and duration of use, you will use in the mountains. Same thing goes for rain and wind. If those mountains get rain and wind (heh), you better be well tested and ready.
There is the difference between wanting to make a recording and absolutely needing to make a recording.