After much thought, I have compromised and released a YouTube-friendly edit of Rattus Joins the Rat Race:
I know what I said before, but I want my videos to be seen. It was only one track that attracted the attention of the copyright trolls. This does however mean I can't rely on BeatPick for music. I did a random spot check of the artists on there, and many of them also showed up on friendlymusic.com. I sent a message to Dhruva Aliman, explaining why I couldn't use his music on YouTube. If I don't hear any further I'll have to assume he put it up on friendlymusic himself.