It may 'just' manage it , it can manage an 8320/8350 @4.4ghz which is similar but the 9*** CPU's come stupidly overvolted out of the factory.
I think honestly you need to go up on the cooler front , themis evo or tisis , dark rock pro 3, cryorig h7 would all do a better job.
Essentially you're better off going with an 8320 & overclocking yourself