Spending all night aboard a packed airplane on the ground without actually going where you want to go would be no fun at all.
But to the OP: You rolled the dice and took your chances with the heaviest single snowfall in NYC history. You lost.
Next time an airline offers you something like this:
http://biz.yahoo.com/pz/060210/93854.html , I recommend taking the airline up on such a generous offer. By Noon on Friday, B6 (and every other airline out there) knew it would be bad.