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I might also suggest pulling the outputs, cleaning off the dried-up thermal compound from all surfaces, and apply new. On the one I recently worked on, it was as dried out and hard-baked as any amp I've seen. Also, check the bias (idle voltage)...supposed to be 15-16mV. On this one, it was 23 on one channel and 25 on the other.
No reason to run them any hotter than necesary, especially if you want to run it in Class A (which I think does sound subtly more detailed....but of course it could just be placebo effect!).
Those outputs are MT-200 packages, and space is tight, so pulling them and re-installing is a bit of a pain...you will need a Phillips bit and offset driver or ratchet. They use mica insulators, and my regular supplier did not have that size, so I was careful with removal and was able to re-use them.
The A700 and especially the A1000 are good sounding amps, with better than average phono sections. Good luck with yours.