[EDIT: my posts in this thread were replies to questions. The questions were later deleted. I don't remember the questions exactly, but their general hist can be inferred from my replies.]
If the hut is at the midpoint of a route, you might put the hut as a child of the route.
More likely, there are multiple routes possible starting from one hut. I'd just make the hut Related to all the adjacent routes. Both Routes and Huts can be children of mountains (and sometimes of Ranges, if they're useful for reaching multiple peaks in a small Range).