You just have to be methodical.
Test/replace the high-failure parts first (paper/wax and/or electrolytic caps, etc).
If that doesn't fix it, start looking at other parts, in the order of likelihood that they will be bad.
As is attributed to Arthur Conan Doyle's Sherlock Holmes: "when you have eliminated the impossible, whatever remains, however improbable, must be the truth". Once you KNOW that every usual suspect is innocent (by testing- even of new replacement parts!), it only can be something else...
I have, on at least one isolated occasion, had a bad ceramic cap. IIRC, it was a coupling cap in a HH Scott phono stage. Leaking B+ into the following stage. It got replaced by a nice mica 500v cap, as did its corresponding mate in the other channel...
Also, remember- at least some of the 'death caps' that need replacement- some of them are ceramic caps. Those do fail- especially those old enough to be not X/Y rated (to fail open)... those can be dangerous when damaged...
Regards,
Gordon.