CPU Cooler

For those who don't want to read, I am in the market for a CPU around the $40 mark. Thanks

###Build Help/Ready:

Have you read the sidebar and rules? (Please do)

Yes

What is your intended use for this build? The more details the better.

Gaming, Programming, regular pc use (email, reddit, youtube, etc).

If gaming, what kind of performance are you looking for? (Screen resolution, FPS, game settings)

I have a 1600 x 900 monitor, which works well for me, and I get respectable FPS on High.

What is your budget (ballpark is okay)?

For Cooler $40, but willing to change.

In what country are you purchasing your parts?

US, Near a microcenter

Post a draft of your potential build here (specific parts please). Consider formatting your parts list. Don't ask to be spoonfed a build (read the rules!).

PCPartPicker part list / Price breakdown by merchant

Type	Item	Price
CPU	Intel Core i5-4590 3.3GHz Quad-Core Processor	Purchased For $160.00
Motherboard	MSI H81M-P33 Micro ATX LGA1150 Motherboard	Purchased For $56.99
Memory	Crucial Ballistix Sport 8GB (1 x 8GB) DDR3-1600 Memory	Purchased For $54.99
Storage	Samsung 850 EVO-Series 120GB 2.5" Solid State Drive	Purchased For $60.00
Storage	Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive	Purchased For $52.99
Video Card	HIS Radeon HD 7950 3GB Video Card	Purchased For $124.99
Case	Cooler Master N200 MicroATX Mid Tower Case	Purchased For $40.00
Power Supply	XFX 550W 80+ Bronze Certified ATX Power Supply	Purchased For $26.99
Optical Drive	Asus DRW-24B1ST/BLK/B/AS DVD/CD Writer	Purchased For $21.00
Other	ARCTIC F12 PWM PST (x5)	Purchased For $26.99
Prices include shipping, taxes, rebates, and discounts
Total	$624.94
Generated by PCPartPicker 2016-02-21 22:45 EST-0500

Provide any additional details you wish below.

I have had my PC for about 10 months and have been very pleased with the performance, but noise has become an issue. For gaming or when I am using headphones I cant hear it, but with light browsing I can hear the whirl of the fans. My case fans are daisy chained together and running at 800ish RPM. I believe it is my cpu fan making the noise, so I am looking for a silent cpu cooler around $40, but am open to suggestions. The coolers that I have in mind are the be quiet pure rock or cyorig H7. I would also want to note that I plan to use this cooler for other builds in the future, unless something better comes out or compatibility is an issue. (6 years maybe) Thank you for reading this long post, any comments are helpful.

edit: also considering the Thermalright TRUE Spirit 120M(BW) Rev.A