If you are flexible on timing and dates and not posh it can be done for not much money, never truly cheap though… My rule of thumb used to be £100 a day all in including passes but flight cost is the big variable.
We’re “up North” so Liverpool to Geneva – from £60 plus taxes
Alpy bus or equivalent – £25 or so each way
Grotty hostel – £10 a night
or hire a car 4 ways, Ibis is Sallanches from £30 a night double room and pick a resort each morning. Pain for a week, fun for 3-4 days.
DIY and flexibility the key. That kind of deal works well for a long weekend with a couple of people but helps if you know the lie of the land.
Again if flexible and not fussy, call someone like Skiworld a week or two before you travel and they talk you through the options, staff have good resort knowledge and will find you something, have had some cracking deals doing this.