Just looked at a review (old one) and the load temp results of your cooler were about the same as a hyper 212 Evo (decent but budget cooler), so you would be asking a lot from it tbh. With my chip the NH-C14S let's it get to 85c max gaming (averages in the 70's) and is shown to be in the middle with load temps between yours and the d15. You could be lucky and get a cooler chip though. If I didn't come from custom loops cooling with a case that like yours doesn't allow for many options, I would definitely, like the others have suggested, gone for the dark rock pro or d15.
However doesn't hurt to see how your cooler handles it, do you have the am4 bracket or do you have to get noctua to send you one out?