CPU Air Cooler

[Type75]

I am looking for an air cooler for my rig im about to make. Im at the edge of my budget and cant go over $50. My case is HAF X if that helps at all.
HAF X- http://www.newegg.com/Product/Product.aspx?Item=N82E16811119225

 

[YTeodosiev]

http://pcpartpicker.com/part/noctua-cpu-cooler-nhu9bse2

 

[Eduello]

http://pcpartpicker.com/part/noctua-cpu-cooler-nhu9bse2

Yes, that's a really good cooler; I've used it and it makes almost no noise whatsoever while maintaining cool temps.