How about someone making a gizmo that detects when the GFI trips with a noise and flashing LED to let the occupant know that it has tripped. Even with a couple of AAA batteries it shouldn't be much bigger than a cell phone and could plug into any receptacle that is protected.
It could even be built so the appliance plugs into it and then into the receptacle. Wouldn't have to since it is detecting loss of power on the line side, but it would be convenient.
Alan
The GFI receptacles we install have an indicator light that shows power to the receptacle
