This is an often posed "dilemma" by audiophiles...that I just don’t get? SS amps produce heat, too. A typical SS class AB amp is going to be ~ 50% efficient. Maybe add 10 Watts per heater for each KT88, and you get an extra 40 Watts for a typical 80 Watts / ch tube amp over a comparable traditional high-bias class AB SS amp. That’s equivalent to a single, very dim, incandescent bulb. Or half of a person (since a person’s body heat is said to be roughly equivalent to an 80 Watt bulb). Double that for ~ 150 Watts/ch tube monos. Still not much.
The benefit of SS is that there are lots of "efficient" topology alternatives. So OP could certainly look at class D (~ 90% efficient), or maybe a class ABCDEFGH amp like the Benchmark one. But a "comparable" traditional SS amp is not gonna save much heat from a tube amp, overall.
You could save perhaps a few hundred Watts of heat with a class D amp. That’s still not "a lot lot". Are there a lot of audiophiles that have their systems in a non-air conditioned hut in the Thai jungle? 😂 Buy a portable AC unit and keep the amp you want.
Incidentally, my heater failed recently during a very mild injection of fall "cold" here in GA. I tried running my high-power tube monoblocks 24/7, and it made no discernible dent in the chill. A space heater was vastly more effective.