Just one question: would swapping the drive platters even work? When all is considered, a hard drive is an analog device with some electronics converting that analog signal into a digital format that a computer can handle. Any misalignment would likely distort the signal beyond use.
(Yes, I know that certain SyQuest drives were essentially removable hard drive platters. On the other hand, SyQuest drives were designed with the removable bit into consideration and they probably made some compromises to get it working.)
That said, nothing ventured nothing gained.
If you know it's something like stiction though, I would give the drive a few good twists around the rotation axis then try recovering the data immediately. If that doesn't work, I'd go onto opening the case and rotating the platters at the hub then trying it. I would not consider removing the platters since it is to intertwined with the drive heads to remove without the risk of damage.
If you don't know what the problem is, try swapping the electronics board. I don't know how dependent the firmware level is. I would imagine that the wrong firmware (or mixing up the plate) would leave you with a readable drive, but the OS would have trouble sorting out the blocks in order to reconstruct the file system.
I would not use the fan, for reasons already mentioned.
I would not weigh dust down in a steamy bathroom, since you are just asking for condensation.
Good luck. And if your data isn't important, try to have fun.