Steven,
You may want to broadcast this solution to your members here on this forum that have iPOD Shuffles, though it doesn't look like you have stickies here so I don't know how you would do that.
The iPOD Shuffle DOES in fact seem to require iTUNES in order to charge, as detailed in this blog:
http://adamzhang.com/ipod-shuffle-charging-problem/. That blog details EXACTLY what I was talking about. I highly recommend anyone with an iPOD Shuffle read this.
HOWEVER, burried about two thirds of the way down in the comments section, is a solution by "BriGuy", and then repeated by "Shisnick" about halfway down.
I tried it, and that solution did in fact WORK FOR ME!!!!
Here it is again (I've added a few items from my own experience with it):
1. Plug the iPOD USB adapter into a USB port.
2. Mount the iPOD in the adapter.
3. Open “My Computer”
4. Find the Shuffle under “Devices with Removable Storage”
5. Right-Click on it and choose Eject.
6. The iPOD Shuffle should now show a solid light. (Red, Orange, or Green depending on it’s current charge.)
So I was able to get iTUNES off my machine and am now a happy camper with MusicBee.
While I did encounter a few glitches in removing iTUNES, I've recovered. I will detail those "glitches" in another post, so that anyone attempting the same thing can benefit from my mistakes. That post is titled "Details of iTUNES removal".