2001 Cobra Tires in Northeast

Anybody have comments on what tires work best in northeast. My 2001 Cobra has Goodyear Eagle F1 GS-D3's which are not good winter tires. I don't intend to take my baby out in snow storms, but in upstate NY, you get caught on occasion. Goodyear wants to sell me Goodyear Eagle F1 All Seasons. The GS-D3's are great summer tires, but........ :shrug: