Can you get a ticket for driving a commercial vehicle on a county road with no CDL?

Yes. If you are driving a commercial vehicle, without a commercial vehicle license, then you can indeed be ticketed and fined. This is true regardless of the type of road you are driving on.

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It depends. You can drive a commercial vehicle within 50 miles of the place where the vehicle is customarily stored without having a CDL. This is so farmers can haul crops to the buyer without needing a CDL.