>>2839115
Aw, man. Switzerland is probably not great for a trip like this. The weather is one thing (that's just mountains in general), but people tend to be more withdrawn, and "cheap" doesn't really exist there anymore. I'd go as far as to say that the entire Alps region is, at this point, geared towards expensive holidays for tourists (speaking as an Austrian).
It's fine if you live here and can start your tours from your home and be back the same day (or wild camp over night, but planned), so you're not depending on cottages or similar. I would definitely not want to tramp here in hopes to find a cheap abode along the way.

All the best with the rest of the trip and especially the weather.