Nothing with moving parts can be truly silent.
But, it can be all but inaudible.
A very good cooler would be a tower type air cooler with a 120mm fan.
They will need 160mm headroom to clear the fan.
The specs for a case should tell you.
Or, measure your current headroom.
A relatively unknown cooler that I have used is the scythe kotetsu for $50 or so.
https://www.newegg.com/scythe-scktt-1000/p/13C-0004-00005
Here is a review:
Weighing just over a pound and having only a single 120 mm fan, the Scythe Kotetsu still manages to compete and beat much of the larger competition. April 30, 2014 by Lawrence Lee Product Scythe Kotetsu CPU Cooler Manufacturer Scythe MSRP US$35 Scythe took a big step last year with the Mugen 4...
silentpcreview.com