The Leonid Meteor Shower going on right now should offer up clear-sky meteor rates of about 10 to 15 shooting stars per hour, but has been known to put on a spectacular show of up to (and over) 1000 shooting stars per hour.
Granted, we haven't gotten much snowpack this season, so any amount is noticeable, but if you want to see true blizzard conditions, you'll need to look elsewhere.