Use whatever it is you normally like to use. Think of photographing the Pyrenees in winter, it will be similar except there is snow and the hills are steeper
I'm not sure I'd like to handle partial-snow, partial-grass/rock scenes with chromes due to the massive dynamic range (you will get black holes or white holes or both), however I'm sure it'll be great for nearly-all-snow or snow-free scenes with a CPL. Personally, I'd definitely take some C41 too; at least with that you can capture the greater dynamic range and then compress it in post.
Don't miss Te Anau, Wanaka and the lakes between there and the west coast.
Edit: I'm a sunlight-and-CPL kind of guy, so I don't use the warming filters for landscape much. Maybe I should.