All things being equal, SET amplifiers run hotter than typical EL34 integrateds, as they need to operate in Class A, whereas most of the former run Class A/B.
That said, you should not find a 300B objectionable. And, depending on how hot your particular amplifier is biased, it might even run cooler. The 211 and 845 normally throw a good bit of heat, though I once owned an 845 integrated, and did not find it bad in terms of heat. It did, however, have the most obnoxiously bright blue LED indicator I have encountered. You could guide ships through a stormy night with that thing. Eventually, I got the idea of covering it with a piece of electrical tape, which allowed me to then listen to the amp in peace.