I've got extensive chara in my trout pond too. However it's not all bad. It provides a surface for nitrification, produces oxygen during the day, and of course uptakes nutrients produced by the trout. I've noticed when I remove it in the fall with a rake it gets replaced by filamentous algae probably due to the colder water being more favorable for the filamentous algae.

I go through a cycle where I remove a lot of it in fall and it gets replaced by filamentous algae, but once the water warms a little in late spring the chara takes over and the filamentous algae completely disapppears.

Lots of nutrients feeding over 500 lbs. of trout in a 1/10th acre pond, and I guess you pick what plant will uptake the nutrients. I also have somewhat of an algae bloom at the same time.

If pigs could fly bacon would be harder to come by and there would be a lot of damaged trees.