Any auger will work out there. I personally would have a 10″ bit but 8″ will work. I will just say this. When I was there I wish I had another set of blades more than anything. It can be really dirty ice which can kill the blades on the auger. Just be aware of that.
I would also have an extension. I am not sure of the ice thickness up there right now, but I can’t see it being crazy thick like usual, because of the winter we have had.