it's the drive that Paddy always recommends
Well,
there's your problem!
'..could see the drive in the Finder' Sidebar.
1. 'both said the disk was in use' It probably was, you probably still had it selected in Finder, displaying its contents. Sometimes, I've had Finder get confused and rather 'protective' of any Device it sees. When that happens, it won't eject the device and other apps, especially those that want to unmount a drive, can't and throw up that alert. Usually, a simple Restart clears that problem. It might even work by Restarting Finder. So...
Did you try Disk Utility (with only minor capabilities) or DW
after a Restart/Cold Start?
[/b]DW will basically rebuilds the drive's directory, but if you can see the files/folders
AND download/transfer them to the internal (or anywhere else)
AND open them in whatever app created them, I'd say the directory is probably OK.
2. [The drives] 'use the same USB hub.' Is that a powered hub? One that has it's own AC plug.
3. The iMac "goes to sleep". Is it the screen or the drive or both that are 'sleeping'? Remember, TM will try to make a backup every hour, if it can't see the internal drive because it is asleep, it may send that 'can't make a backup' alert (which doesn't really offer reason). What does your Energy Saver System Prefs look like?
4. 'the power strip (designed to take a power surge)' The inexpensive ones usually use sacrificial chips to prevent the surge from getting into the attached devices. More expensive ones can take a 'hit' and reset. Like drives in a third-party enclosure, you may not know what's actually inside. Lightening is the most common cause of surges, but other causes can also cause them. I don't know of a user-friendly way to test them for efficacy.
Bottom line, don't 'modify' your externals for better 'cooling' just yet.
One thing at a time, please. And don't panic... yet!