<VV> 64 run circuit problem

[Smitty]

Smitty Says:  History;  Problem has existed for 4 years with whole club involved and no resolution.  64 Monza Convertible.  Starts and runs normally for 20-30 minutes, then dies.  Makes no difference if car is on highway or in garage.  In 20-30 minutes it is going to die  Although many have tried diagnosis. it has been found that Jumper from battery to Pos side of coil will keep it running with extreme amperage draw noted in jumper.  Original and two other coils have been used.  Points have been checked multiple times and replaced once.  Rear electric harness has been changed with new one, and two wire connector to start solenoid  has been changed with new set.  Start solenoid has been replaced with a new one.  Engine to dash harness has been electrically verified with ohm meter.  Ignition switch has been replaced with new and known good unit twice.  Gas tank and sock have been replaced.  Cable has been spun through all fuel lines.  inline filter and carb stones are new.  Not a fuel problem, as fuel pressure is always good and carbs always spritz.  Filler cap has been left off.
Two clues.  With both old and new rear harnesses the wire loom voltage dropping resistor gets hot enough to fry chicken on.  Definitely get hot enough to burn you.  Also the large current draw in the jumper when applied.
Request those who offer suggestions ,read and reread this post so as to verify that your question has not already been answered by our diagnosis.  And please CC posts to mcpherson along with posts to VV.            Thanks