You're lucky. I see must carry chains if you're over 10K lbs notices. But when I have been on the northern passes (mostly 20 and 2), they require 10K lb vehicles to chain up even with AWD when conditions worsen.
With the TC I am over 11K lbs, but my GVWR is 9800 lbs. By the sticker I should not have to chain up, by the actual I should. I carry chains for the truck and trailer November through March, but rarely hit the passes during this time with trailer in tow since that would guarantee I would have to chain up in bad weather.