Good advice above, Oykie--Crested Butte and Telluride are a long ways from Vail. But there is nothing inherently any more "alpine" about either of these resorts than Vail either. They all have some above treeline open bowl skiing, and indeed, while it does have an interstate running past its base, Vail's bowls are unequalled anywhere for sheer, treeless vastness. Summit County and Loveland, which you will drive right past on the way to Vail, is Colorado's highest county, and there is probably no resort more "alpine" in both terrain and spirit than Arapahoe Basin. Arapahoe still claims the highest lift-served skiing in the US.
So Todd's advice is reasonable--if you want to ski Telluride and/or Crested Butte, there is no reason to go to Vail in the first place, and they are both great resorts. But I'm not sure your REASON, as you have described it, for wanting to go to Crested Butte or Telluride, is all that valid.
If you want to ski a bunch of different resorts, go to Summit County and ski Arapahoe, Keystone, Copper, Breckenridge, Vail, Beaver Creek, Ski Cooper, and Loveland, or go to Aspen and ski the four resorts there. You could not pick three resorts much farther apart than Vail, Crested Butte, and Telluride!
Just a thought....