Anything that is less than 200mm tall, I would shoot for 150 to 160mm tsll since you have the motherboard, mounts, etc that take up some distsnce.
So.... anything that is around 150mm should suffice. Possibly larger. I have a CNPS 10x (160mm) cooler in a case with those dimensions and it fits fine, but kinda kills the airlow in the case since it (IMHO) is too big of a cooler for the case.