[MovedGoalPosts]

i5 CPU is sufficient for good general purpose gaming. i7 give a bit of headroom with more cores but unless you are doing other stuff like a lot of video encoding, it's unlikely you'd have that much benefit. You aren't going for cutting edge, based around your choice of GPU so the i5 is fine.

The better CPU coolers, even if you stick at stock, will be more effective and thus less noisy. Standard, if you are at stock speeds can be OK, but you will often know about the fan when the CPU is under load.

Think carefully about the SSD capacity, relative to the lifetime of the PC. Is 250GB realistic? You will want to install your OS and your main games. Things like Battlefield 4, with all current and future planned expansions will eat around 50GB of space (one of the reasons why the SSD is so beneficial for gaming load times). In many respects the standard HDD is relegated to less accessed stuff like photos.