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You could base in Boise, Idaho and cheaply ski/board at Bogus Basin where all the college kids go.
Then take day trips to Brundage, or Tamarack resorts.
Or spend a few (more expensive) nights in Sun Valley, which is about 2.5 hours away.
And Boise is a great city with good restaurants and a fun vibe.
The airport is 15 minutes from downtown.