After a year of swapping out parts and contemplating whether I wanted to spend the money or not, I finally finished my build I thought about going with the Intel Pentium G3258, but when I saw the benchmarks for Overwatch, I swapped it for the i3 6100. I did have the Radeon R9 380X when it was about $180, but the price jumped to $220, so I switched to the slightly less powered GTX 960. Overall, I am very happy with the computer I built. My idea was to cut costs when I could, and spend the money when I had to.
I'm glad that I went with the Deepcool case, the fans are very quiet, and I love the LED lights and open side. I tried to do as much cable management as I could, but for a few things I had to stretch a bit. The CPU power supply connection had to reach across the motherboard because it wasn't long enough to go around.
The result: Amazing! I used the GeForce Experience program to optimize my settings for Overwatch, which ended up being mostly Ultra 1080p across the board. It runs at a smooth 70 FPS and the graphics are beautiful. I haven't tested any other games yet, but I assume it will stand up pretty well. I couldn't be happier with the price point for the amount of system that I got. The installation was surprisingly painless considering that I haven't built a computer in over 10 years.