By logic, if it is snowing, then the company is knowingly sending you out in dangerous conditions.
-(per past practice of charging a driver)-
Ergo, the onus/liability is upon the supervisor that demanded that you deliver in the, fore said, known dangerous condition.
Jersey, or Texas.
The same rules of law apply to both parties.
Hell,
UPS has a clause in their "guarantee" for the non delivery of a pkg, under the guise of weather conditions. preventing paying a claim on a "guaranteed" delivery date.