Are you sure about the clearance? The photos that I've seen of the case show the side fan to be low enough in the door to clear the CPU cooler. Google reviews and photos of the case. Many of them show very large coolers installed.
I'm not really sure, that's just what the NZXT website said. It's sometimes really hard to tell how much space you are dealing with on pictures like these. Would have been stupid if I bought my parts and there was no way to fit them together properly.
Right now there is another case on the table for me that will definitely accomodate all the parts. I'm gonna look a little more into whether the Tempest Evo might still be an option before I make the ultimate decision.
Thanks a lot for the anwers!