Again, I can't see any reason to buy another router at this point in time, because outside of the networking problem I alluded to, it seems to be serving my purposes okay. I don't think that the networking problem is due to the router, but to the way that my HTPC is setup, because I have opted to not have to use a login turning it on, so that I can control it remote from my bed, without having to stir myself. When I attempt to access that computer from my desktop, it requires a account name and password, and will not accept a blank login. I don't think that has anything to do with the router.
I wasn't really aware of the fact that the router even had a USB port on it, until you mentioned the possibility. I just plugged the docking station into it, and for about two seconds, it did show the contents of the drive in the docking station, but then changed to what I see when I select Network on the Start Menu, with no sign of the USB drive any longer. Also, when I plugged it in, I didn't hear the usual connect sound that Windows makes with a new device being connected, nor does TurboHDD see the drive, so I don't know why it even showed for those two seconds?
EDIT: I don't know that it would be called USB sharing, but if the drive isn't accessible even from the desktop via hard wires, what is that USB port good for?