Why not have at least radar? Plenty of cars have radar for adaptive cruise control and blind spot monitoring, it can't be that expensive. Two sensor kinds would still be an improvement.
I used to drive through torrential storms in Brazil, where the highest level of the wipers was barely enough to keep water out of the windshield, never had an issue when keeping safe speeds either (even though Brazilian traffic is murderous).
Haven't seen an equivalent snowstorm so far. Even in the worst case there's still at least 30 ft / 10 m visible range. Which is not great, but at least something.
In both cases, if at all possible, better to stay put!