GM HEI "M4 pin" to female socket distr cap??

Did you even find a solution for this? I had to get an alternator from the junkyard this weekend and while I was there I grabbed this too:

I guess I should have done some more homework first because I've now realized that particular module isn't usable with our distributor pickups and then there's the coil to distributor cap wire problem with that coil.

Yes, there is a way. As you already know, the HEI module that comes on what you got is looking for a digital signal (square wave). The Mopar distributor puts out analog. No problem, just get the Delco D-1906 HEI module. You can get it on Amazon for about $30. You'll have to grind off one of the aluminum fins on the heat sink you have, but it's not that difficult. Make sure it's flat and use the thermal paste that comes with the HEI module.

As for the spark plug wire, I couldn't get Aurora or Magnecor to get back with me so I made my own, at least to use temporarily. There are several make-your-own plug or coil wire kits out there. I used Moroso #73237 for about $28, but that comes with the traditional male HEI and female socket terminals. Use a female socket on one end of the wire which of course goes to the distributor.

For the coil end, that M4 / pin style was also used on the GM LS coils, so you can get an Accel kit that has two 90 degree boots and the right terminals. About $6 on Amazon:
https://www.amazon.com/gp/product/B06W5324PR/?tag=fabo03-20

Put that on the other end and you're all set.