Are 3 fans enough?

I don't like that case. It handles a maximum of one 80mm and two 120mm fans, none of which are installed, and the PSU in it is sketchier than I like. I would not use that case for that build.

Are there any alternative cases you might consider in your market? Most cases with PSUs are not intended for high-performance gaming.
 
That's a much better case. http://www.hardwaresecrets.com/cooler-master-elite-431-plus-case-review/ It will support up to four 120mm fans, one of which comes with the case. The review says that it does not support 2.5" Disk drives, if you were thinking of using one.

What PSU would you be using?