Chara...and chara is a complex algae - FAR better than coontail issues, I'd let it grow as it's out-competing the coontail now, this is a perfect scenario for you. If necessary, rake or apply algaecide to certain areas you want free [fishing lanes, beach, dock, etc.] but I'd leave the rest alone. Chara is far easier and cheaper to manage than coontail in my personal experience...and my GC like grazing chara - just another bonus.

Many men go fishing all of their lives without knowing that it is not fish they are after. ~ Henry David Thoreau

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