Start pretty early- it's a long slog in. However, once you get there it will be blissfully obvious where the best skiing is. Walk out the the porch, look stright ahead, look left, look right: That's where the best skiing is.
There are some steeper aspects along a knife ridge to the west, but I can't see a reason for going way out there with what's within a few feet of the house. Follow the trail out the back - it curves around to the west and straddles a ridge with steep shots to the south and extremely steep stuff to the north. We set off a small slab testing out one of the chutes along the ridge, so keep that in mind.
Enjoy- I haven't done that many hut trips, but I find it hard to imagine a better one.