Interesting ideas. There were a few companies that used a transistor as the heat sensing compensation component in their bias circuits. I guess that would require a little investigation.
As for bias diodes, I always sorted and tested by forward conduction voltage. That is usually the reading you get when testing them with a multimeter, using the diode test function.
When I get a power amp in a Kustom that gets a little too warm while idling, I will change one of the diodes in the bias string with a different one that tests with a lower voltage reading. That will increase the voltage to the upper half of the power amp circuit and reduce the current draw at idle.