I don't believe there are any regulations against pushing coyotes with motor vehicles other than airplanes and snowmobiles. There are clear regulations on not using automobiles for deer hunting, but nothing with regards to coyotes other than the airplanes and snowmobiles (which are prohibited for all game).
makes sense because you can use radio Communication for hunting coyotes.
From regulations.
USE OF CB, MOBILE TRANSMITTER, PHONE
You cannot use a two-way mobile radio
transmitter to communicate the location or
direction of game or furbearing animals, or to
coordinate the movement of other hunters.
Exceptions: Coyote hunters may use twoway
radios, except during the two shotgun
deer seasons. A falconer may use a one-way
mobile transmitter to recover a free-flying bird
of prey that is properly banded and covered on
a falconry permit. Hunters with dogs may use
a one-way mobile transmitter to track or aid in
the recovery of the dog.