I can hardly hear the PSU, but I'd go for something different, because the PSUs that come with cases aren't really reliable.
I want to see your machine ( ͡° ͜ʖ ͡°)
The 7850k has been treating me nicely the past few days, and with that cooler, it's been keeping pretty cool. Also, according to pcpartpicker and a few other sources, 7870k might not work with the selected motherboard (dunno if this is true). I generally wanted the price to be 400.
I was planning to do this in the future.