Compression test on a 360, result OK or not?

What happens if you increase the in gear idle to 800 RPM and the base timing is set at 10* advanced? I do believe those are the factory settings. It has been awhile since I have been in a manual but I know the symptom you are describing can be caused by too low an idle setting.
Your compression is fine, you do not need a re ring, unless you have bottom end issues we are unaware of.
Remember, the fuel path through the carb is a lot different at idle than under load. Under load you are pulling fuel through the main metering system, at idle it is the idle circuits. By increasing RPM slightly you are allowing more of the idle slot to be exposed and allow more fuel to be drawn in.
Humor me, try the RPM increase. After using your timing light to see if you have spark scatter.
Hope this helps you. Good luck