I say with "Z" rated (aka summer tires only) and that width.
YOUR SCREWED!
I have driven in snow with Z rated tires and it was a VERY VERY slow drive. If there is any packed snow on the road where your tire cannot contact the road. You are in even BIGGER trouble! Based on my experiences!
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C ME FLY
88 coupe
14.75 @ 98 mph
Traction Limited