if you notice, some air pumps will have a little tab or hole so you can suspend the pump.
this is how I have mine for my protein skimmer set up. It is hanging from a silicone "tie wrap" thing that I found at the 99 cent store.
hanging it that way eliminates all secondary vibration noise.
that's a Coralife Luft pump. Expensive but it certainly puts out the air at good pressure.
excuse the mess, I had an incident with my skimmer