Need opinion on a budget travelling to switzerland?

I will be doing an extension to switzerland from rome on the 16th march to 21st march.

Any cheap way to travel to Geneva/Zurich either by train or flights?

Will probably stay at Davos for 2-3 days for skiing and sightseeing. The remaining days will probably travel to zurich and fly back home from there.

I tried searching around for the accommodation and traveling cost. All seems rather expensive.

Any cheap yet fun ski resort and accommodation for 2 person that is easily accessible? A double room with private washroom is preferred.

I'm thinking of camping for a night as well but find it hard to choose a site where all of this is nearby.

Any recommendation?