I run Falken AT3W's on my 2019. Work real well for here to even include freak ice/snow storm. I also had Toyo's on wife's 2010 F 150. The Falkens are similar to the Coopers also. You just have to see if you need "C" or "E" rated tires depending upon your towing weight/needs. "E" more ply, more aggressive, more weight. I run "C"'s on mine, which are 5 Ply, and I occasionally pull a Stock trailer when loaded with hay 6-7000 lbs total weight, no issues. MIKERU in post #5 has it down ref tires for your weather having the "snow" rating.
ADDED: Remember, I am in TX and run what works for me. Snow not much of an issue, ice, hail, and too much rain on roadways main concern (and occasional tornadoes and hurricanes).