I have done precisely this. Though my cabling needs were a bit more significant. The computer sits in a separate room, behind a wall. I cannot hear the multiple

I have done precisely this. Though my cabling needs were a bit more significant. The computer sits in a separate room, behind a wall. I cannot hear the multiple fans or coil whine or anything else. Beautifully silent. The computer stays cool, and so does my office. Four or five monitors, couple of USB hubs/peripherals, speakers, and so forth. It is unfortunate though that I spent more on cabling than most people probably spend on their entire computer.