Back in the 90's, there was a Super Storm that caused snow from AL (maybe MS) all the way up to ME. All the major airports were closed, except ALB! (Of course, there were no flights to JFK, DCA, ATL, BOS, etc... - but ALB was officially open!

)
But that was a major storm! I don't expect many problems with this one - unless your flights are during the brunt of the storm! Within 3-6 hours after the storm, it should be back to normal.