Mine was burning a lot of oil for a while - traced the problem back to the PCV system. I discovered that my valve covers were the non-baffled type. Oil was splashing up to the base of the PCV valve which under vacuum was pulling oil into the vacuum port on the carb. I added baffles to my covers and the problem immediately ceased and my engine went back to burning virtually no oil.
Same situation as you - good compression numbers on all 8 cylinders.
Hope its something similarly easy for you. Certainly doesn't sound like rings.