Where exactly do you live now. Whats your budget, etc.
Utah is always a good pick, lots of good mountains close to each other, all about 30 minutes from SLC with buses that can transport you to and from the mountains.
Hotels are pretty cheap in SLC too.
Look into CO for an early trip - Loveland is gonna be the first open in the US. They start blowing snow usually before october, so around november they might be in full force if not in october.
Jackson Hole is pretty nice too, along with other MO mountains. There a lot of good pow out in MO thats usually untouched. Check out Big Sky while you're there too.
Besides that, you have all the well known places, mammoth, hood, whistler, bear mtn, etc