Having a driver with a low impedance does not help avoiding noise coupled into the cable, because of the inductance of the wire the rf impedance of the cable will be much higher than the driver's output impedance.
Instead of using a oversized mosfet driver I would use a differential line driver and a twisted pair cable. It should rejecte the noise much better than any unshielded cable.
Maybe you can use a CAN transceiver, it can tolerate shorts to GND or supply rails.