I downloaded some cool open source 2D animation software: http://www.pencil-animation.org/
and have been playing around with it. The idea is that I'll be able to do storyboards, animatics, and general planning and timing with it, to help with the 3D stuff. I think I've barely touched on the possibilities, but just stuck to what I could work out.
However, I wouldn't rule out random silly animations like this one.