I think the answer lies in your speakers. They have adverse impedance and phase angle curves. Not the worst, but on the difficult end. I could well understand why they would make an amp cook.
Those are Erin's measurements, so can be trusted. It also shows the high Q resonance Erin found at 500 Hz.
So not the best of speakers, but not the worst. However it is a difficult load. That is why your amp is heating.
I don't know why you are using an eleven channel power amp to drive two speakers, unless you are planning to add nine more. If you are you had better choose carefully.