Tubes have to heat their filament to be operational. That is their principle of operation. It is like the car engine which relies on an exothermic reaction to do its job. The amount of filament current may be less in some more modern designs but even then, there will always be SOME heat. It is probably impossible to find tube amps which do not generate ANY heat. Correct me if I am wrong.
If you are so sensitive to heat, then you should get a class D solid state amplifier.
If you are so sensitive to heat, then you should get a class D solid state amplifier.