Final options on build

I plan on using this build for gaming and some school work. I'm having trouble picking a cpu thats reletively cheap and won't bottlenevj the gpu too much. I'm having a littake trouble finding a case around $70 so suggestions would be greatly appreciated. Finally some recommendations on good cheap fans would be nice (if you don't think the artic F12's are good).

I meant to put final opinions on build but it autocorrected it.