You really think it's overheating?
Well, not *reeeeally*

, but I'd like to take it away from my list of suspects.
Anyway having the chassis out is a pre-requisite for further testing, so .....
What *I* would really do is scope it, but not everybody has one.
Second best is inject a continuous tone (1KHz, 440Hz, your choice) and check what happens when it cuts out.
Is a relay clicking somewhere? Does it have some kind of mute, or a bimetallic thermal switch?
Google the schematic, I've seen it somewhere, maybe inside MEForums.
Note: heating does not only refer to power transistors and big heatsinks, maybe there is some lowly component in there which only heats, say, 10 to 20 degrees and yet doesn't handle it, that's what freeze spray was invented for.
You could also lose voltage somewhere, a connector pin might expand when hot by current, not ambient temperature and lose contact, etc.
That's why tracing is important, you have to know "what" happened, "where", before you start guessing "why".