Let's rejigger this one. How about.

http://www.tomshardware.com/reviews/core-i7-4770k-haswell-performance,3461-7.html

No, you don't need to get the i7 but look at the comment about the A10.

" AMD's A10-5800K, averaging more than 60 FPS at 1920x1080, is currently much more playable. "

So what happens if you forget the current CPU and video card and try just the noted A10? You can still see if the 20 buck PSU is doable by checking your design to see if you are in the ball park.
Bob