Mild 318 pinging

Nice job. I agree with your conclusions
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If you can put the long loop spring back in, that will probably get it done.
When the distributor is open, move the weights and see roughly how far into the advance before it contacts.
For example you measured 22* advance on the engine. If the weights moves about half way up the slot with the long loop spring, then it will add its spring force approximately 10* into the advance.
You can turn the spring perch to adjust that a few degrees.

With only one primary spring, the advance will begin at a lower rpm. Turn the perch to add more initial tension if possible.

You could also try delaying the vacuum advance, or doing so in combination with using the longer looped secondary spring.
If cruise 20" and moderate load is 16"Hg, then turning the adjuster ccw may be possible to have it only partially contributing at 16"Hg.
Shown in section 1. b.
How To Limit and Adjust Chrysler Vacuum Advance Cans