Is 5640 RPM acceptable? WD reds are all about 5400rpm and are basically the gold standard for NAS HDDs.
You can shuck them out of WD easy store drives sold at best buy. They’re white label drives from WD, but they’re all based on the red/red pro drives.
Just know that higher RPM doesn’t necessarily mean higher noise. In my experience Helium filled drives can be pretty quiet, and basically all really high capacity drives are helium filled.
I have an arm of shucked WD drives and while I can hear them from time to time, they’re not bad. Also your case makes a huge difference. Make sure the drives are on rubber isolators, and what they’re mounted on can’t vibrate to make any noise. The only noise I hear from these drives is when they first spin up after being idled.