Honestly, I have zero sympathy for anyone who lives in NJ and runs a DD with summer tires in the winter. It's not like winter surprises us. It gets cold, it snows and sleets. Either spring for snow tires or at least compromise with all seasons. I used to run summer pirellis until it got cold, say 40* or less in the day, so maybe mid December. Summer tires can act very skittish even on cold dry pavement, their compounding is not equipped to handle cold. Been there, done that, never again.
Snow tires really give you a great excuse to buy really nice summer wheels and use the OE wheels for snow tires.