It looks like that case has trays or sleds for the drive with a spot for 2 screws, one per side.
You can try it to see if it helps.
Worst case at least you know it does not seem to be a drive issue.
If you only have one drive and the sound drives you nuts you may also be able to use the included 5.25 -> 3.5 adapter to mount it up with the optical drives. You would still need to screw the drive into that adapter and then the adapter into the case so it is more work.
SuperSoph_WD,
Thanks for being here on the forum to help out users