Shut Up and Perform
Processor:
Intel Core i5-4670K ($219.00 at Amazon)
Motherboard:
ASUS Z87-PLUS ($144.99 at Newegg)
RAM:
Crucial BLT2KIT8G3D1608DT1TX0 16GB (2 x 8GB) ($116.99 at Newegg)
Graphics Card:
SAPPHIRE 100355OCL Radeon HD 7850 2GB ($158.57 at Newegg)
Boot Drive:
SanDisk Ultra Plus SSD 256 GB ($164.99 at Amazon)
Case:
Antec VSK-4000 ($34.99 at Newegg)
Power Supply:
SeaSonic X650 Gold ($125.98 at Newegg)
Cooling:
Silverstone AR01 ($33.99 at Amazon)
Total: $999.50
Now, you might be looking at the case and going "Whaaaat?" but let me tell you: A top-mounted power supply allows you to put this case on the floor, making it so less noise reaches your ears. Try it. Also, note that this PSU is overkill for this system and its fan doesn't spin up until there is considerable load. Therefore it should remain silent almost all of the time. It does better on top. The CPU cooler is
good and necessary for getting your money's worth from the K processor and the Z motherboard. Reposition stock case fans to intake positions prioritizing the lower video card position, put some fans on the other intake positions if you have them, or cover them up if you don't. Take airflow-inhibiting material out if you can. You've got no HDD's after all. Maintain positive pressure.
With this you have the option of having almost no noise and a moderate overclock, or a bit of noise and a "normal" overclock, depending on whether or not you get a high-performing processor. Follow the Haswell overclocking guide
here. You should find that if you want it pretty quiet you'll be about 200 MHz lower than most people.
But since this is a gaming build the CPU is not as important as the GPU. The HD 7850 is
one of the best values. The SAPPHIRE 100355OCL is not only one of the cheapest but the quietest, with 2GB of GDDR5 for
future-proofing this build. (Yes, I know it also recommended an 8-ish core AMD processor also, but the 4670K, showed more..."promise" to me, was more efficient and wasn't much more expensive.)