Change the module. I think Hotrod 46 is on the money. I wouldn't trust it if it heatsoaked to a fail state.

Next time it shuts off, isolate the cause- fuel or spark. If no spark, then check for power to distributor. HEI needs a minimum of 12AWG feed, most use 10AWG.

But that is all assuming you are running an HEI. If you are using something more exotic like a multi spark capacitive discharge system then most problems trace to ground issues.