I solved my resonance problem. I went to Home Depot and bought a couple packages of rubber washers (6/32), some vinyl washers, packages of thin stick-on felt and replacement screws. You can find the felt in any hardware store or hobby shop. Just get the peel-off ones that come in a package of various sizes. Everything cost me about $5 and took about 15 minutes to install.
I removed the offending drive, placed rubber washers on top of the drive screw holes, then gently placed the bracket on top, making sure to align the holes. Then I threaded the vinyl and rubber washers onto the screws making sure the the vinyl washer were closest to the screw head (rubber towards the drive). I screwed them into the drive making sure to not over tighten because I didn't want to smash the rubber washer. So, the order is: screw, vinyl washer, rubber washer, drive bracket, rubber washer and finally, the drive.
Next, I peeled off a couple of the felt pads and stuck them on the front of the drive; on the end under the connectors. I thought the pads would help absorb the vibrations on the connecting end where it comes into direct contact with the metal. The rubber connectors on the drive bracket helps to address the rest of the vibrations. With this setup, I think the only metal-on-metal is through the electrical connectors.
I replaced the screws for two reasons. I wanted to get ones that were a touch longer to compensate for the washers. Plus the newer screws had a better head so that I didn't need to worry about stripping.
When I popped the drive back in, it was virtually silent.
Good luck.