TRUCK,
There are multi-bay cases on Granit Digital's site - check under 'products'. It sounds like you're talking about two different capabilities, though.
You mention that you want to ghost the drive, etc, on your computer. This assumes that it has been removed from the other computer first, making the other computer unuseable for the time being. You would have to shut down the source computer first anyway and probably don't really need hot-swap capability on those computers. The issue there is probably more of 'easy removeability' which is easily solved by the relatively inexpensive plug-in IDE trays (~$25 on eBay new). They are *not* hot-swapable and still require the computer to be turned off first, but you would be doing that anyway, right? The trays themselves usually have a slide-open lid and the drive itself can be removed quickly from the trays. I use them and don't even bother screwing the drive on the tray - it fits in pretty snugly by itself. You could dispense with the whole tray scheme by just physically removing the drive, but this get's pretty tiresome unless you have speed rails and easily accessable cases. I'm not that lucky!
If you now have the 'loose' drive, the issue of hot-swapping only applies to your computer. This is where the single-tray IDE to FireWire (or USB 2.0) hot-swap is needed. You can connect the drive (temporarily) in the external carrier, power it up and hot-plug it to your computer using the FireWire/USB cable. Note that the drive's IDE port itself really isn't being hot-plugged. You're just powering it up in an external case and partially initializing it's IDE port without using a computer - the remainder of the initialization takes place (through external circuitry and O/S drivers) when you plug it in to your computer.
When you're done working on it, unplug, power down the external carrier, remove the drive and replace into the original computer's tray. The IDE socket was not made for constant plugging/unplugging, but it can certainly hold up for several hundred cycles if you're careful.