You have obviously done some homework on this, its a very well balanced build. The cpu cooler is not needed as such, since you have no way of overclocking a locked CPU on a h87 mobo. That said, with a decent fan curve, the Hyper212 will most definitely cool that CPU much quieter, and even at 100% CPU usage should never have any reason to come even close to max fan speed and noise. It's really not a bad option to take.
The rest of the build looks very good, grade A parts, but for the money, there are better cases. If However, you happen to really like the raidmax, it is your choice, cases being the one component that really is personal.