"Waterproof" hiking boots usually aren't waterproof. You will be on snow more or less from LBSL to the notch and back. It looks like you're spending at least one night on the mountain, and you don't want to start for the summit with frozen wet boots. I would bring mountaineering boots and a reliable pair of crampons that fit. While I don't use crampons and an axe all the time, I always have them when I might need them.
