Noctua makes a range of low-profile and low-decibel coolers. A number of other companies do as well but in my experience Noctua has the best track record for performance.
This model might work for you:
Noctua Low-Profile Quiet CPU Cooler for Intel 115x Based Retail Cooling NH-L9I
It's 37mm tall, it fits the socket for a kaby lake i3, and it's designed to dissipate ~65W of power draw (your CPU has a TDP of just under 60, since the higher specced i3-7530K runs a TDP of 61... benchmarks for the i3-7530K were easier to find). I can back up the reviews that say it is a virtually silent cooler, as I've used Noctua fans for years. They are excellent quality and barely audible, especially if you mount them using the included rubber stoppers (this will likely be the default installation method for the cooler, that bit more applies to case fans).
Should fulfill all of your requirements, and it's not even more expensive than options from Cooler Master and other manufacturers. Hope this helps.