We don't even use 2-layer boards for that. For the small runs like that, four (or even six) layer boards are cheap enough.
What's the Spirograph thingy, top-center?
My next project is to take one of my boards and replace the current DSP(s) with a mezzanine board with a larger DSP (well, a selection of them). The DSP guy didn't like my last choice. ;-) I think I'm going to slip in a few other small boards at the same time. They're going to have to be tiled anyway, for our CM to build them.
--Keith