Slower RPM HDDs will generally be quieter than faster ones, and consumer drives will generally be quieter than enterprise drives at the cost of long term reliability and possibly write speed, but in general HDDs aren’t quiet, and no one specifically makes quiet HDDs.
Moving parts make noise. You’re more or less looking for something that doesn’t exist. Instead of looking for a quiet drive, look for ways to sound-isolate your drive.
I really like Seq. It supports tons of log types, including GELF, which means you can configure your docker hosts to send all container logs to Seq with just a couple lines in Docker’s daemon.json file.
Setup is pretty simple as a docker compose stack containing the Seq container and a container for ingesting each of the log types you plan to use.
If you wanted to try it out, I’d recommend setting up Seq with seq-input-gelf and seq-input-syslog, and setting up nginx to send access and error logs to syslog as detailed here.
Have you tried to ssh into it?