well, hostels I guess! Or maybe a cheap serviced chalet share etc? or Gites d’etape
The only hostels I have experience of in the alps are in Chamonix, Zermatt and Saas Fee, oh and down below Val d’isere I’m afraid, as I, up to now, have only hostelled it when climbing or ski touring and not riding.
There are all types of hostels.
Not sure where/ how soon you’re thinking of, but the ski season has not yet fully finished, and lifts will be closed in most resorts for the ‘inbetween period’. However I’m sure you can sort something out!
Have fun!