Pulled the Mess that was my Timing Chain....

That ballast resistor is not the right one; the resistance it too high cold (2 ohms) and waaaaay to high hot (7 ohms). It is limiting a fair amount of your system's possible spark energy. Try to get a BWD19 which is close; a lot of the box stores have them. The best is an OEM Mopar part 2095501; cold resistance is 0.5-0.6 ohms. MSD sells a close equivalent through places like Summit. This may not solve the immediate issue but it needs to be corrected. Possibly, do an HEI conversion if you are not set on staying original.

I just suggest the steps to go through the ignition and timing as you have an issue that can have several causes in different systems. You're going to have to go through each one 'til the cause becomes clear; some tests to eliminate some of the sources of trouble will help you narrow in on the trouble area. The plug carbon could have come from the prior carb issue (though it would eventually burn off), or it may still be a carb issue.

On the carb:
- Did you look down into the carb while running to see if there is fuel dripping down in drops into the carb? Try to use a mirror to do so.
- Also, was the choke plate closed before starting? If so, the choke should open slightly when the car starts. This is the choke pull-off function and is done by the small vacuum dashpot at the top of the carb. If the choke plate does not open slightly at start up, then it will be overchoked and run rich and rough.