Latitude suggested that I try this. The plot below shows Rutgers winter (Dec-Feb) snow cover vs. UAH global Dec-Feb temperatures.
As you can see, there is no correlation. Snowy winters are just as likely during global warm winters and cold winters. Winter 2009-2010 was El Nino and was very snowy. Winter 2010-2011 was La Nina and was very snowy.
However, there is a very strong correlation between mid-latitude NH cold and snow. Unfortunately RSS has not updated their data, and I can’t plot this out yet.