A good bet at outsmarting the rest of the mid western assault on the rockies for a smart razorback would be looking at Snowmass and the Roaring Fork Valley. It won't have the crowds of Summit county, and once there you will see why the world's elite often choose this setting.
The stay does not have to be expensive either. Since you are driving, I would suggest you look into staying at properties in the Glenwood Springs area. The trip up to Snowmass/Buttermilk is easy and pleasant most days. The big advantage is that a beginner like yourself can opt to spend some of your days at Sunlight. It is very inexpensive, family friendly, and maybe the best deal in Colorado skiing. The only groaner is that there are no high speed lifts; but that desire can be alleviated by a couple of days skiing at the Aspen group. Take a look at the links on the Glenwood Springs Chamber of Commerce website. The ski and soak packages are popular, and provide nice variety for a stay there.
...Just a note on the spring break situation. If you look at a map of the eastern rockie slopes, you will see that there are many ski areas on the inside of the eastern ridge of the rockies. All of those in the New Mexico/Colorado ridge will experience their highest loads of the year during spring break(primarily because of ease of access), and this will vary widely by where bus loads of spring breakers opt for their ski days. Any of those areas might disappoint on any given day. ..However; if you take the time to travel the 2 to 4 extra hours to the western slopes of this range, the threat of unmanageable crowds decreases significantly.
Hope you have a great trip!