If you look at the Supported Devices, the Samsung Galaxy Tablet itself
isn't supported. However, it is a platform for the Android eReader
software on it, which is supported by ADE. I don't have one, so I don't
know quite how to go about getting both the tablet and the eReader software
set up to do the transfer. Somebody else?
Only dedicated reading devices ( B&N Nook Simple Touch, Sony Reader, etc...) will show up in the Digital Editions device list. For general purpose devices such as phones or tablets, there are applications (such as Bluefire Reader) that will read content in you Digital Editions, but you are on your own for getting the files into the right place on those devices. Since the instructions on this will depend upon both the application and device, your best bet will be to look at the instruction from the application.
Thank you all, I guess I'll keep working on it.