But you didn't drop down far enough. Here is the provision that allows an out of state resident to tow with their out of state license, like you can with your Idaho car drivers license.
DRIVER LICENSING for DOUBLE TRAILERS - NONRESIDENTS
12502. (a) The following persons may operate a motor vehicle in this state without obtaining a driver's license under this code: (1) A nonresident over the age of 18 years having in his or her immediate possession a valid driver's license issued by a foreign jurisdiction of which he or she is a resident, ....