No, I think I'm probably going to be locked into a "cold war" with chara as long as there is water in the pond.
Actually if you completely drained the pond, let it dry out, and refilled, the Chara would probably be back. Its spreads via spores. Only way to prevent it that I know of is to drain, dry, refill and add aquashade. And even then you may get some around the edges.
That said it does hold lots of invertebrates and as you mentioned it keeps the water gin clear.
And one more thing. Copper products do not even work on my Chara. Even with the chelated copper my water is too hard.