Jack, back to square 1 then. This is exactly the controller idea I proposed in the beginning. Say square two, since it's built up already

Can you propose any particular centrifugal fan?
Eric,
Yes. the hysteresis works OK, about 2C if I remember correctly. Yet, the switchover is not steep enough. I might try and put a couple of NANDs between the LM393 output and the MOSFET, so that there are defined logical values (voltages) driving the FET. In order to be able to drive a 240V fan, I'll change over from the FET to a transistor plus relay (and diode).
Klaus