Barley straw works great in ponds to prevent green water. It wont affect your bio filter. No cons that I can think of and a great option instead of a UV. I would suggest the straw. Give it a month or less to start working to clear up your green water.
I've used the straw before in my smaller pond and it worked well.
Where can I find barley extract? At a lowes/ home depot? I would like to try it in my new pond.