Sure you CAN run with standard insurance and you CAN lie and say its only for your personal use.
Problem is if they find out you are plowing with it they will not honor the warrenty, you should have asked about the warrenty and commercial use when you financed the truck.
Th problem with not carrying commercial insurance, is if you hit and kill someone your insurance can deny the claim, then they will sue you personally and take the business, your savings, your house, ect.
You are playing with fire my friend. You should just forget about the money you spent on the arrenty and insure it with commercial insurance.
Todd
GreenQuest Lawn Care