On a dead circuit like the one the OP has, the AM radio trick works with either a commercially available tone generator or the cheap route, using a door buzzer muffled somehow, towel or container, with one wire coming off it to feed the RF noise into the light string so it can be traced with the pocket AM radio. I've traced many a wire inside a wall using this method. Oh yea, the buzzer can be powered by either a battery or doorbell transformer. It will make a lot of RF noise regardless.
TDD