Beaver Creek, a close neighbour to the more famous "Vail", is an expensive ski area to visit. Its certainly not the highest resort in the states, but its certainly high enough to have a pretty guarenteed cover of snow. Its got some awesome mellow runs which extend throughout the mountain -top to bottom if you want. This means that those wanting a relaxed trip, yet see everything on the mountain, can easily do so.
Beginners will like this place, and for many it's one of the best family resorts in the USA. The instructors here are really good if required and there's always an easy way down, whichever lift you end up riding on. I think that my pick of the runs for the beginner would have to be the great "Sawbuck", which winds throught the forest underneath the Upper Beaver Creek Mountain Express lift.