Not sure what your goal is, but a 2-3 night loop sounds like you are spending every day skiing with a big pack on. Different strokes....., but I prefer skiing into a hut and staying for a couple of nights so that I can get some up and down skiing around the hut before moving on. The driving to trailhead, ski/climb in, etc. usually takes about 1/2 day, which gives you some time to chill in the afternoon and maybe take a couple short runs near the hut. Next day you can cover some ground and explore the terrain around the hut, maybe bag and ski a peak, or lap some sweet area, possibly returning to the hut for lunch and a short nap before afternoon turns. Next day ski in the morning and then grab the packs and ski out in the afternoon. That's 3-days with a lot more pack free turns than going hut to hut.
It also makes planning easier because you only need one hut and one start/end point. I've been at a hut when it dumped overnight and it was great to be one of the guys skiing fresh powder, instead of one of the guys breaking trail with a heavy pack in deep snow for 9 miles trying to find the next hut in a storm.
Just a suggestion from a guy who likes huts, but not skiing up or down with a big pack on.