For sure let me know the voltage at the positive side of the coil with the key "on".
When it shuts off does it start right back up? Or do you have to drag him back home?
Earlier 304, is it a Prestolite ('78 and before) or Motorcraft ignition system?
If it's Prestolite, we may discuss some of it's downfalls. I switched my '77 CJ-5s 258 Prestolite to Motorcraft as too many things went wrong with the ole Presto parts.
Any noticing of hitting bumps, left or right turns, accelerating, decelerating, etc, when he quits running?
This works at times, while he's idling, shake/move wires or harnesses around "normally" recreating "Gs" in a turn or up and down bumps in the road. See if he cut's off or even skips a little. Wiggle the wires to everything.
Violent and over the top flopping the wires about may move the problem out of the way for now, but then it might reappear in the future, just when you don't need it to! It's best to find it now if you can, so be gentle with the shaking and wiggling process.
The Medic
Saturday, April 20th, 2019 AT 8:04 PM