KravtZI'd say do SLC and do alta/snowbird and teh rest of the mountains there. Arguably the best ski city in N America.
Also Whistler would be amazing. Tahoe is another sick area. That would be my personal top 3
I would agree with this. I think your best bet is to go to one of these areas. You could have a bad season, there is always that risk, but the places mentioned in this post would give you the best chance to score.
Someone mentioned traveling from place to place. That would be really cool, but also incredibly expensive. If you lay down roots you buy a season pass and occasionally go to other areas. Spending money on every lift ticket would get expensive. The exception would be the Epic pass, which gives you lots of resorts in Colorado and some in Tahoe for a very good deal. If you want to travel around in Colorado and come to Tahoe to hit Kirkwood (one of the sickest mountains anywhere) it would be a good investment.