Just a thought, as sooner or later I'm starting a CNC build of my own...
What might be wrong with the following idea?
Instead of having cables routed via cable chains and having them need to bend and unbend relatively tightly (down to the radius of curvature of the chain), what about having all cables leaving the machine going straight upward, then arriving overhead at a gantry (higher up and much lighter weight than any gantry on the CNC machine if it is a gantry type design), with some slack along the way. From the gantry the cables would be rigidly fixed as they came back down at the side/back/(other fixed location) and went to the control box(s). As the cables would all be going upward they wouldn't risk dangling in to any of the moving parts or work area, and whilst they'd be moving around as axes of the CNC moved, it would be just a gentle movement (like the sort of movement a pendulum makes as it swings) in the cables' slack rather than a tight bending. To visualise it think how intravneous drip piplines are hung, only instead of a bag at the top you're cables come back down via the rigid strut that is holding the high "gantry" up. The only disadvantage I can immediately see would be that it would need to be rather higher than the machine, so not an option if the machine is already relatively tal, or mounted on a high table, and the ceiling is low.