Does gently pressing against the disk top panel (when wooshing) change anything?
If you are "less" than gentle you can kill a laptop drive by pressing on its top as there is such a tiny space between the top and the moving parts inside, also the Aluminium (I assume) topis super thin.
I know this first hand because I wanted to (fully) kill some faulty HDD's its very easy to do, nothing more than a finger + thumb required, the drive I tortured to death was of course on and seeking at the time (wouldn't be any fun otherwise), when I took it apart, the top platter was covered in scratches due to the massive head crash I caused, it was so bad the actual read/write block was ripped off of the actuator arm.
So basically you will just have to be very careful with whatever you do that presses the top of the drive. I would suggest trying something that is soft, flat and doesn't cook the drive and does not cover the ventilation hole, the list is going to be very short so you might have to get creative and build your own enclosure. I would suggest the starting point as a sheet of corrugated cardboard, make cuts and bends, tape it together, make holes for suspension and cables as necessary and keep a close eye on temps. Corrugated cardboard is actually quite a good sound insulator because of its multiple surfaces, and of course its very often free.
I once had an entire PC inside a DIY cardboard box, it looked like shit but it did the job for a few weeks until I bought a case that I liked.