I tried a fully fledged consumer NAS (QNAP with Seagate 12 TB NAS drives) but the noise of the platters was not acceptable.
If you have a NAS, then you can put it as far away as your network reaches. Just put it somewhere where you can’t hear the thing.





Okay, this is unfortunately DIY, but if you’re willing to spend time:
Get a plywood box and put it in there.
If you hear vibrations, put sorbothane between the NAS and the box.
If you need more sound absorption, put acoustic foam on the inside.
If you need more cooling, drill two holes, mount a case fan, and run the air through some kind of baffle. Like, maybe attach insulated flex-duct, like this:
https://www.amazon.com/Hon-Guan-Silencer-Reducer-Ventilation/dp/B07HC8CXQG