Well, I don`t know what you are majoring in an what schools specialize in what. In general, you might look at University of Montana in Bozeman near Big Sky or Montana State in Missoula. Eastern Washington University outside of Spokane which is close to several decent resorts like Schwietzer and Silver Mountain. University of Washington on the west side puts you a reasonable drive to Crystal Mountain, Stevens Pass, Snoqualmie with Baker, White Pass and Mt. Hood a very do-able long day trip. In Oregon, Portland state and the U of O in Corvallis puts you close to Mt. Hood and a couple of smaller ski area down south like Hoodoo and Willamette Pass. Bachelor is also a do-able day trip.
Snowolf, you got the bass ackwards. The University of Montana is in Missoula, Montana State is in Bozeman. Neither side would hesitate to strangle you for making that mistake - there is a very healthy rivalry between the two schools.
Missoula would put you 30 minutes from Snowbowl, which I've heard is nice, but pretty small. Several bigger resorts are within a few hours' drive, though. Bozeman would provide better riding overall, since it's close to Big Sky.
Eastern Washington is near Spokane, which I wouldn't wish on anyone. What a stupid, dirty, falling-apart city. We call it "Spokompton."
Western Washington University is in Bellingham, which is about an hour from Mt. Baker and 3-4 hours from Whistler. That could be fun!
I'm not sure what's up there for colleges, but the Idaho panhandle would be pretty sweet - beautiful area and some nice resorts.