What you need is some sort of signal which you can reliably detect that is going through the 'ground'.
As you have already figured out, the 'natural' 60Hz signal on the ground fault will be pretty small. You calculated what the value would be on the basis of incidental capacitive coupling. The existing ground fault detectors are likely also introducing current; the classic 'three light bulbs' means that current equal to the lamp current has to be flowing through the ground fault!
You can hunt for this by looking for 'net current' on circuits. On any correctly functioning circuit, any current flowing 'out' on one circuit conductor has to be balanced by current flowing 'in' on the others. If you put the entire set of circuit conductors into a clamp meter, the circuit current will balance out to zero. Any ground fault current will read on the meter.
The problem here is that you are going to be hunting for a _small_ 60Hz current in the context of large 60Hz currents, and there are always errors.
IMHO what would be preferable is to inject a low value of AC current that is _not_ at your normal supply frequency, so that a low current through the unintentional ground would be easily discernible from 60Hz. It looks like you are already looking at the bender system, which appears to do exactly this.
The question would be: could the bender pulse generator be installed on a branch circuit which you can turn off, such that it would inject the pulses into the system so you can locate the fault.
A second question would be: if company policy requires you to shut the system down to install the pulse generator, what are the requirements for tracing the fault assuming the pulse generator is installed?
If the pulse generator were installed, could you locate the fault without having to clamp on to circuit conductors? Could you hunt for the signal in what is supposed to be _grounded_ non-current carrying metal?
Finally, are there other signal sources that you could use? I am thinking that a VFD would be a great signal source at its switching frequency, and the _capacitively coupled_ currents at the VFD switching frequency are generally accepted flowing through the grounded metal system.
-Jon