I imagine the Swiss have dealt with similar situations, I wonder what they would suggest? Pay employees way more is probably step one. I'm the "build more housing" guy, but it looks like the Swiss have chosen a different path?
They have much better trains / public transit to bring both workers and day tourists in and much denser towns with lots of old small living spaces. I'm no expert but do live in a western mountain town and have an old climbing friend who just bought a closet to live in in the Alps. Part of the issue here is towns have very limited sewage and water systems so its not like you can just build new apartments/duplexes/tiny…
With the book from the panic, people have bought lots all over thinking they could just build… it doesn’t work like that. The rock doesn’t always agree w your plans.