Raid,
When I used to photograph the Colorado mountains, I used 28mm, 50mm and a 135mm in my film days. Later on digital, In used a Sony R1 with a zoom lens with the equivalent 24-120mm. I found that more than adequate, and I often shoot at the wider end. So I'd suggest that you choose your prime lenses within that range.
I often shoot at around 12,000- 14,000 ft. above sea level. With digital, I often didn't use a polarizing filter, but at those elevations, the sky will naturally be rendered darker than shooting from sea level. So if I used a polarizing filter at all, I likely would not turn it to its maximum power. I had made the mistake when I used film in my younger days---the strong action of the polarizing filter that I used almost turned the sky black.
Panoramic shots are very suitable for that type of landscape. However, if you used a polarizing filter, you'd better re-adjust the strength of your polarizing filter after a shot or two. Otherwise you'd end up with very uneven skies on the horizontal plane. I'd say that you should use a tripod when you need to make those adjustments along the way.
Granted, most of the mountains in Switzerland are not as high. I remember the one that I visited (Mt. Titlis) was just a bit over 11,000 ft. But you still should have a strong UV filter for that.
Tin
