I like the idea that you have to take care of the dice not only as your own, but also the possible dice of your enemy, and you have to tweak the outcomes that are useful for yourself and "snakey" for your opponent.
Also, you could make lines between rows (excluding the outermost squares where the player/enemy moves up) to show this zig-zag motion. A couple of times it happened that I took a long time deciding which dice to pick, moved, and realized that he was moving in the exact opposite direction because I had already forgotten how he had moved before.