If this really is induced voltage, which I still suspect it is, providing a ground path will short it out completely and you shouldn't see a thing. Even without the ground path, the current would be incredibly small and very hard for you to measure. Although as I type this it occurs to me that you said you felt a tingle when you brushed up against the rail and grounded it with the tank water.... It doesn't take much current for us to feel that buzz, but it would be more than what would be induced from that little power supply in there....
Hmm. I'm very interested if this trips your GFCI still.