Hoya polariser for me. ND, ND graduated, and / or tobacco graduated (I prefer cokin brand for these).
Settings, I don't normally do landscapes, and haven't for a very long time. I'd be using Manual most often, iso100. Shutter speeds can vary, if I'm using a lens 100mm or shorter, then 1/125 is minimum, or else use a tripod if you need longer shutter speeds. If you're using about 300mm focal length, then 1/300 would be my usual minimum shutter speed (wind and distance dependent). If you have plenty of light, then feel free to use much higher shutter speeds. For landscapes, perhaps f9 to f16? For details in the mountains (like flowers, unusual rocks, birds, and things), then I'd use about f4 to f7.1, depending on what I want.
A friend of mine loves hiking and photography... unfotunate for him. So, he carries a cheap simple tripod, good expensive lenses (heavy), a good camera, and then the remainder of his hike pack is dedicated to other unimportant stuff like... err... food, tent, and clothes.
Have a good trip.