In April 2009, a year after the Muppet viral videos became a thing, two promotional videos featuring Beaker were uploaded for the 2009 Webby Awards, and both were removed after the voting ended.
Webby Awards: Beaker for the Win / Beaker Never Wins - A montage of Beaker's injuries set to music from Requiem of a Dream, but later re-uploaded with a similar-sounding stock track. The original has been found by Muppet Wiki (https://www.youtube.com/watch?v=QGH2GqhvoqE), but the replacement seems to be lost.
Auto Tune - Ode To Joy - Beaker For The Win!! / T-Pain's in Love with a Beaker / Kanye West Spoof - Beaker Auto-Tune! / Auto Tune - Remix Ode To Joy! - A version of the "Ode to Joy" video but with auto-tune and a chroma-key space background, additionally including instructions on how to vote for the Webbys. Outside of a screenshot and a couple of failed archives, I can't seem to find it.
Do you have any leads to reach out to? I would consider the possibility that all production in this "viral video"/internet realm was made by maybe the same team? I would see if reaching out to the people who made the video that won themselves comes up with anything - listed in this link winners.webbyawards.com/2009/video/general-video/music/152181/ode-to-joy
I'm on the search for Big Bag! - an early collaboration between Cartoon Network and the Children's Television Workshop