Throwing my hands up on this ignition!

Make sure your ignition switch will switch reliably and repeatably between crank and run.
Then run the ignition box off relays triggered by those two circuits, and supplied by the same independent battery power source as the box..
Your ignition problems will be over.
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FYI
I have powered my 367 with a Jacobs Amp, a modded factory magnetic pick-up distributor, and an ancient apron-mounted sq-top Accell Super-coil (with it's own ballast), as above, since the early 2000s.
The engine is on it's third cam since then, having begun with a 292/292/108 Mopar grind. This system works from 500rpm to 7200 and beyond. Why anyone running with this or less cam, on the street, would need the possible/probable headaches of a CDI, or a Multi-strike, is beyond me.
I love the idea of a CDI, but not interested in walking.
The only part of this system that has ever failed, is the pick-up, which I swapped out on the side of the hiway.
Best of luck to you.