I'll be adding to this thread in a couple of days, but I'm trying something out:
I just ordered a D-Link DSM-750
I've also installed (via apt-get) "ushare", a UPnP media server. I've pointed it at my torrent directory, and it allegedly exposes my media files (video, audio) to my local network.
The DSM-750 should be able to see that content, and show it on my TV via HDMI.
In a couple of days, we'll know for sure.
Further thoughts: I should probably move the less family-oriented content to a different directory.