You could use plastic P-Clips as an alternative.
Cut off the 90 degree bend (on the right in the picture) and make a new hole. You've now got a flexible U-shaped bracket.
Now fasten one side to the drive using the standard fixing screws, and fasten the other side to the floor of the case using a small screw and nut.
The natural springiness of the plastic should dampen any vibration, and at the same time it will be fairly secure.
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