Grounding the instrument voltage regulator

No, they don't work.

Where is a good spot on the cluster to attach a ground lead? The cluster doesn't appear to have a ground coming off it, I just assumed it was in the harness that plugs into it.

What are the chances the gas gauge was fried? Are they usually last to go?
Somewhere around 74 the gauge housing changed to plastic in which case a ground harness to the various items would be present.
If you had a rally panel I could say the Phillips head screw at bottom of center pod is the best place for a added ground wire.
Most of the small screws that attach the circuit boards to your pot metal housing are very short, weak, self threading attachments.
Without having your panel to look at, I'm going to recommend the Phillips head screw that hold the noise suppression cap in place.
When I add a ground wire I use a ring terminal and a toothed washer. 3 inches wire away I place a male female spade connection for service disconnect. I take the final connection somewhere like near the fuse box so if I do need to pull the panel outward for testing it, I don't have to remove my ground connection in that process.