New Build Planned, looking for a good CPU cooler!

EastTNGirl89

Honorable
Aug 19, 2013
3
0
10,510
Hello there fellow computer junkies!

I am currently in the process of building my newest gaming rig to upgrade from my current. I am wondering if this build should require a CPU cooler as my current one does not even overclocked. Considering the prices on a few air and water coolers I dont see why it wouldnt benefit the build. Also if anyone has had a good experience with a few or could recommend a good one that would be great!
What I am planning:

Intel Core i5-3570k
MSI Z77-G45
Gskill DDR3 1600 1.5V 4GBx2
120GB SSD
1TB external WD HDD
AMD Radeon HD 7870 2GB
Windows 7 64bit
I will be overclocking both CPU and GPU. I have decided on the Thermaltake Chaser A71 Full Tower, If that helps, I have heard those cases have a good amount of air flow naturally. Also if anyone sees any improvements that I could make to this build please let me know, Its been a couple years since I have researched the market.
Thanks!