My engine wiring harness burned up a couple wires yesterday!

I did that for testing. I put the key on "run" and put one multimeter lead on the blue field wire of the alternator, and the other on the "center" blue wire plug of the voltage regulator connector. I was getting 7 volts. I also had 7 volts on one side of the dual ballast, and it was getting hot after just a few minutes. The green wire in the "side" of the voltage regulator plug had no volts. Blue field wire to battery positive was also 7 volts.

My guess is that something is still shorted in some way? For the ballast to be getting hot quickly?

The blue wire leading to the alternator is the one that got smoked the worst. I should mention that near the rear of the engine, that wire had a "Y" connection, and the other wire ran up to the exhaust manifold mounted electric choke for the Holley 1920. That wire has a broken tip for a while so I used it to connect to the alternator field, since whatever is in it is coming down the same wire from the voltage regulator.

My multimeter doesn't have a setting for measuring amps.

I also had taken the voltage regulator loose last week and cleaned and reseated all its ground points, there was more than 1, the previous owner was ground-happy and had extra wires going to grounds on different things.