Graphiicz :
It'd probably be better to get a 60Hz monitor, then you will only need 60 FPS. At this budget, that's perfectly possible, and you can play on better settings than medium. The build above is fine, but perhaps consider the NZXT Source 210 Elite instead of the Corsair 200R. Both good cases though.
The 200r is better by a long shot, I'll show you why (also forgot it's 59.99 with amazon not 44, but 10 bucks goes a long way)
Firstly, the NZXT Source 210 Elite:
Manufacturer NZXT
Part # S210E-001
(or) SOURCE210ELITE-BK
Type ATX Mid Tower
Color Black
Power Supply None
External 5.25" Bays 3
Internal 3.5" Bays 8
Motherboard Compatibility Micro ATX, ATX
Front Panel USB 3.0 Ports Yes
Maximum VIdeo Card Length (With Drive Cages) 9.06"
(Without Drive Cages) 12.99"
Dimensions 19.49" x 7.68" x 17.28"
200R:
Manufacturer Corsair
Part # 200R
(or) CC-9011023-WW
(or) CC200R
Type ATX Mid Tower
Color Black
Power Supply None
External 5.25" Bays 3
Internal 2.5" Bays 4
Internal 3.5" Bays 4
Motherboard Compatibility Micro ATX, ATX
Front Panel USB 3.0 Ports Yes
Maximum VIdeo Card Length (With Drive Cages) 11.81"
(Without Drive Cages) 16.93"
Dimensions 19.57" x 8.27" x 16.89"
You get 11.8 inches of clearence with the drive cages in place, 16.9 inches by removing 1 or 2 cages. You also get 4 2.5 inch bays, 4 3.5 inch bay. It's a much better deal for only 10 bucks more. I know you might say that you could buy 3.5 to 2.5 inch adapters, but it's easier and a money saver to have your SSD bays right there. Also you are right about the monitor, but it's still going to be hard to put in a monitor on his budget especially for 120Hz or what have you.