I have been running a 3 speed W/overdrive on my 283 in the 58 Apache for 13 years now. I controlled it with a cable and a switch, bypassing the governor completely. I don't know how I lived without it. Now I want to incorporate the governor and it is working.
According to the '57 Chevy car manual there is only a cable used to actuate the overdrive.
Studebaker and Plymouth had a rail lockout switch on the overdrive that prevented the governor from actuating the solenoid when not in freewheel mode.
Did Chevrolet have a different way of locking out power to the solenoids while not in overdrive or did the system just energize anyway every time the vehicle went over 28 miles per hour?