Electronic Ign. Control Unit (ECU) Heat condition

Guys,
Really appreciate all the feedback. I ALSO strongly believe I am simply not getting sufficient voltage to the started/relay circuits under hot conditions. I will take several voltage and resistance readings as suggested, re-check all ground and + connections points, and see what I have. Will probably replace the ECU as a matter of good practice along the way, though right now the car starts quick(when cold), and runs smooth across the rev range. Probably just replace the ballast resistor as well...(I do have a slight stumble just off idle but I am pretty sure that is Carb issue--came with a Demon 800 cfm --which I think is too big). The + Battery cable from trunk to starter looks new and is 2ga which looks like a pretty "healthy" size (but I have never had a trunk mount before). The 18" ground cable running just under the trunk to a frame mount is also 2Ga. Engine ground consists of an ~16-18" cable (slightly smaller than the 2Ga size) running from front of engine block to a radiator bolt.
I had a bad issue with a big block that was wired like yours, the negative starter cable went thru the frame. I changed it to a full length cable from the neg battery post all the way to the engine block, cured all issues, after I fried 2 starters.
The neg cable needs the be a least the same gauge as the positive cable or you will have problems. Make sure you remove all the paint from under the connection points and add a little dielectric grease at the mating surfaces.