2001 330xi takes me from Portland, OR to Bend, OR (I5 S to Hwy 22 East) every month all year long. Do a google map on this road and you'll see it is windy, has a 4000' summit, and a joy to drive on wet or snow covered roads.
I drive on Continental Extreme Contact DWS tires and couldn't be happier. They run well in wet and snow and are all season so no swapping.
I have never put chains on the car even in the dead of winter with plowed snow on roads. I have not gone on unplowed roads. That is for my Yukon Denali.
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If you dog doesn't like somebody maybe you shouldn't either.