Counteroffensive fighting style
I once saw a Jackie Chan movie scene in which he fought off six people by only turning their moves against them. It was almost like they beat each other up. Not once did he punch or kick them. The most offensive this he did was push one of them. What about a fighting style like that? It might actually be impossible to make a style that only deflects their moves, I'm just suggesting a style that is not offensive, but counteroffensive, if that makes sense. Like, blocking could deal damage. If you dodge a punch to the side, you could grab their arm and yank them in for a kick or something.