I found an article in my local newspaper from 2012 about stocking Blue Tilapia to combat algae problems. The woman in the story had a 1/4 acre pond (smaller than mine) so I think I have found my solution.

My only other question is can they be stocked by themselves, i.e. with no predator fish? I don't much care to have bass or other predators in the pond as I stated above I'm probably not going to fish.