Thanks to all who helped with part selection here on PCP. My first ever build was a thrilling experience!
Had an extra HDD lying around and already owned a monitor, keyboard, and mouse, so that helped with the costs.
Stuck with the stock CPU cooler for now since I went over my budget, but I will eventually look into aftermarket coolers and dabble in overclocking once I do a bit more research on the subject.
The only hiccup I had while building was that the H440 LEDs failed to turn on at first. Found the issue in a completely pulled/cut wire which is connected to the LED power board on the back of the case. Not sure if I yanked it while building or it came like this, but I was not willing to RMA. A little electric tape seemed to have done the trick for now.