You'd have to make changes to the lines. The Carter has a bigger body than the AC, and the ports don't line up the same.
It could be one of many possibilities, or a combination of issues. You've done the first, to swap the plugs. Next check the firing order. They run surprisingly well with a few wires swapped. Then timing at idle, and at part throttle, and at 3/4 throttle (you'll need an adjustable timing light).
If all checks out on the ignition side, isolate carb functions. Make sure you don't have a vacuum leak (hollow stud uncapped, loose base nuts, bad vacuum line, etc.) Use a vacuum gauge. You should get 15" or more at idle. If not, find the leak. The idle speed screw should be in just a small amount, if it's open too far to compensate for a vacuum leak or late timing you'll get the stumble.
Step by step. Keep notes of what you find, what one item you test, and what the results were.
Vikki 1969 Goldenrod Yellow / black 400 convertible numbers matching