OK. I did some experimenting because I just didn't care anymore.
I took the scanner apart again and I played around with the NMP200 part. I tried offsetting it a millimeter here and there. While I ran the scanner. Like I said, I just didn't care anymore.
No difference.
But I DID notice a difference when I would press down on the piece -- the hum was all but gone.
I tried with the inner metal case attached and I just could not press down hard enough with it on to mitigate the hum like I could when I directly pressed the piece down. This is why Uniden wants you to apply some force when screwing the inner metal enclosure back in but I just could not make firm contact.
So what I did was thicken the NMP200 part by applying about eight or nine layers of copper foil tape to the visible surface while the piece was still installed. I added a couple layers to the inner metal piece where it touched the NMP200 part as well.
Put it together and the hum is nearly gone. I can hear it from a foot away if the room is perfectly studio-quality silent, but it's not that bothersome. From an arm-length away, I can't hear it any longer. After applying the vanilla fix, I could still hear it from across the room.
I believe the factory part is as thick as it can be while still being able to wedge between the display and the plastic, but it needs to be just a little thicker in back to make proper contact with the inner metal enclosure.
Also, for those of you having the same issue I was having, if you take off the outer enclosure and look at the inner metal enclosure from the back while it's still installed, you may notice that it's ever-so-slightly concave. Mine is. It bows outward ever so slightly preventing proper contact with the piece and probably why the hum is worse for some of us than others.
The hum is now at the same level, maybe a little less, as the write bus hash noise. My fanless laptop almost makes more noise writing to the SSD (I know -- look up "ASUS SDD noise" if you're curious).
I feel comfortable purchasing the protocol upgrades at this point. I find the hum to be acceptable, though I won't be buying a second SDS200 that I had planned on until summer at the earliest, if at all.