Probably. You could try a http://www.silentpcreview.com/scythe-kozuti
. Overall external height of the case is 62mm & the Kozuti is 40mm. It'd be tight, but I think it would fit.
The case claims to be able to fit the stock intel cooler. I have a stock intel cooler that I can measure, but I've no idea where the measurement starts from. I also don't know what revision of intel cooler it is referring too as I am sure they are all different.
How would the Kozuti compare (sound wise) to the stock cooler?
What I was more worried about is the lack of air "flow" through the case because of all the holes. Is that likely to cause me an issue?