I dealt with this EXACT problem when I wired my UK switch. The UK wiring grounds to the frame, the US to the harness.
Go to the hardware store and buy a female bullet connector with the flat ring on the end. Plug the end of the black wire into it, then unscrew one of the screws for the horn mount, stick the connector between the frame and mount, then tighten it down, up against the frame.
Voila! Horn is grounded and works.