I had the same sort of problem with my '56 312, walked out of a store and it started running like crap. Luckily close to home and it limped into the driveway.
Turned out to be the cheap
Autolite spark plugs, after changing to NGK's the problem is gone. ALOT of my mechanic friends tell me to never run the cheap Autolites or Champions. Opinions I value from a good source
The
Pertronix units seem to be pretty reliable but some internet searching when my problem occurred showed people talking about frying some units by just having a plug wire coming off while running, other things mentioned are to NOT crank the engine thru with the ignition on as the high voltage from the
coil could be fed back to the ignition amplifier (
Pertronix unit) thus cooking it. I'm not a sparky but info worth looking at if I was running a compression check
I read that some problems occurred with the early
Pertronix units from heat, newer systems apparently don't suffer from this
Others have complained about the old points system, mostly from cheap Chinese condensers being the problem
Opening the hood on a dark night while running can show shorts in the insulation of spark plug wires, changed mine and added extra insulator rubber tubes wherever they crossed each other and turned the block corner from behind around the head under the exhaust
Spark plug wire kits from thunderbird
parts suppliers (Larry's, Casco, Tbird HQ) come with rubber blocks and brackets and nice instructions, remember to get extra set of insulator tubes and cut as needed you'll see why.
Hope it helps
All be well