Set up 1/2 microstepping will help somewhat with default drivers.
Check if you have at least slight distance between z axis motor axis and leadscrew (so that it does not touch aluminium plate when rotating.
Also you can use nema 17 damper to reduce vibrations.
U can use graphite powder to lubricate z axis.(dirty hack - you can also use home made powder from pencil, although thats not as good as regular lube) .
If you want to go absolutely quiet, you might want to consider changing motor driver (i changed mine for tmc 2208)