In my kitchen..........
Hmmm I made up a work bench that has everything slot into it, - tool boxs, welder, Kompressor underneath and a drill press and lathe on top
Having the kompressor sitting on a bit of thick carpet and a basic angle iron housing over it, soaks up lots of noise.
If I wanted to run my Kompressor at 3 am, I could simply seal up the housing around it with some heavy carpet off cuts, leaving a fair slot at the bottom and top for ventilation.. and I'd imagine that as far as soaking up accousting energy, that this would work very well.....
Yeah unless switches and electrical stuff are rated for explosive atmospheres.... either don't use them or put the kompressor outside, in a nice little well vented sheet metal / plywood box, internally clad with thick carpet...
Actually for your information, there is a type of compressor that is noiseless.
It's in the same department as silent hammers and air guitars at Kmart.