Trying to drive with truck tires that are not approved for winter conditions is associated with great danger. A winter approved tire should have the 3-peak mountain snowflake symbol, often just referred to as the 3PMSF symbol on the sidewall of the tire.
Get truck tires that can handle both hot and cold weather and are winter approved, so that you can travel through areas that have both types of weather conditions. Then you will remain safe regardless of the conditions.
All tires not only the commercial winter tires need to have the correct tire pressure, to make sure that they take the same pressure and rotate with the same speed. Mismatch in tire pressure when you have dual tires is a fast way to wear out tires.