Does this work as a regulator for the fan ?
https://ae01.alicdn.com/kf/HLB1W7tb...n-Speed-Controller-Dimmer-brushless-motor.jpg
You don't need anything complicated. This style is what is most commonly used:
https://www.amazon.com/VIVOSUN-Vari...ocphy=9017325&hvtargid=pla-493053330602&psc=1
Edit: I just noticed the one you posted earlier is 220 volt. Do you need a 220 volt controller?