On a positive note, however, I found the video again, only this time as a three-part episode, showing the entire show which the original video was from! You can view the videos here: part 1, part 2 and part 3.
Also, I found a way to actually download the videos off YouTube! Here's how:
In the YouTube video URL, you'll notice the text
watch?v=Simply replace that with
get_video.php?l=165&video_id=Your browser should attempt to download a file called "get_file". Rename this to whatever you like, but be sure to use FLV as your file extension.
Now you'll just need something that can play flash video files. I recommend VLC Video Player. (Keep in mind that these are flash videos, and as such, the movie progress bar will not work.)
That's it. You may want to associate FLV files with VLC, but that's up to you. Enjoy!