Anything that could be used to clear the algae would have to be put in the stream above your property and would contaminate the water below your property. I am aware that you dislike the algae but the little creatures that hid in it and eat it need the cover and food.

seems like I've read that cornmeal helps with algae;
you might check into it, maybe google "algae cornmeal" or "cornmeal ponds" or some such.

best luck!