@Carnix and Alexfili - There's one major flaw with doing what you suggest: The logo is 4 different blocks - Since the scene is taken from the side, part of the logo would be visible on two of the side blocks because of the simplistic way that textures work in Minecraft (one 16x16 graphic which is tiled). As far as I know, there isn't a way to show the logo on only one side of blocks. Yes, I could shoot it from the front but I think it wouldn't look anywhere near as good as a side shot - especially since the barrel would obscure the view of the back pistons that "hold the barrel in place".
Yay, Minecraft limitations again. Also as Havoc said there's a lot of things moving about in the background - While it wouldn't be impossible to get the timing correct, it'd be very difficult.
But thanks for the suggestions anyway.
EDIT: Here's a screenshot to illustrate what I mean:
