You may or may not have seen that thread?
I couldn’t buy one of those fancy California Air Tools silent compressors anywhere near me, and the “quiet” compressor I got turned out to be unbearable in my small garage, so for now I’m using the airbrush compressor mentionned near the end of that thread, coupled to an actual airbrush/nozzle aimed at the cut, it has worked out ok for me, and it IS very quiet. It does get very hot after one hour or so of continuous operation, but so far it has not died on me.