You can easily hide your pc anywhere. I have mine practically in another room so i don't have to hear it or see it.
All you do is get a powered USB cable and 1 usb hub (to plug mouse/keyboard/gamepad or usb headphones into), and an HDMI or DisplayPort cable thats long enough to reach your monitor. My PC is around 35 feet away from monitor/keyboard on the other side of the wall, and all i needed was a 35 foot displayport cable and a couple USB cables.
This setup provides zero noise and no ugly case to look at. Simple as hell. Been running my pc this way since 2001 and the best thing i ever done to avoid noise and clutter.
Main reason at the time was in the early 2000s GPUs and CPUs had terrible loud fans I couldn't stand but even now still is worth it because a gpu can still be noticeable if its 100% usage.
All my cabling is nearly hidden as well, its long enough i have the usb and display cables run along the wall mostly out of sight.
Liquid cooled GPUs and CPUs will make an Xbox or PS4 sound like an airplane in comparison. Seriously, PC acoustics have far outgrown console with the advent of easily accessible AIO cooling.