As you probably know, skiing in Colorado or Utah costs a fortune, with lift tickets alone often running over $200/day.
Last week we went to the Arizona Snowbowl and it was absolutely awesome. Its about 20 minutes north of Flagstaff, AZ (2.5 hours from Phoenix airport). It has plenty of beginner, intermediate, and expert terrain, and the snow is awesome (over 260 inches of natural snow annually, we caught it after a 15" storm a few days earlier).
For midweek adult lift tickets + rentals we paid $85 total per day! We booked a few weeks in advance and brought our own helmets (saving about $16 each on those). The rentals were very good quality equipment. There are plenty of affordable hotels in Flagstaff. Just make sure to rent a 4 wheel drive SUV in PHX as the roads in Flag and heading to the mountain can be icy and often aren't well plowed. Airfare from NY to PHX is always pretty cheap, as are car rentals.
On the way from PHX you can stop in Sedona for a day of hiking and stunning views, the ride from Sedona to Flagstaff is only 45 minutes with stunning scenery all the way. After skiing you can drive another 1.5 hours north to the Grand Canyon which is gorgeous in winter (and no crowds, and very cheap in park accommodations). Grand Canyon back to PHX is about 3:45 hrs.
I don't know of a better skiing bang for your buck. Considering they're the only real skiing in the state, I'm not sure why they don't charge a lot more but I'm not complaining.