Interesting theory on the chicken farms. I had never thought about that. There is a farm about a mile away. We have no idea how long they had been there. The property had set unused for at least two years. They definitely started losing their fear of us within the 1st month. I like the idea of harassing them to keep them at bay.
My standard routine upon arriving at the property was to go straight to water to see where the gators were before letting the dogs out. One time I let the dogs out and unloaded the truck before going to check on "Chomp" and "Jaws". Both dogs went to the water for a drink, one came back. We found his skull this year as the water level dropped because of the severe drought.
If I were in your shoes, I would probably just sit tight. If they really are that small, it could be interesting to watch and learn. Maybe you will be able to tell us all what the true impact to a pond is (fish, snakes, nutria, ducks, etc.). Just don't let them grow too big. Right now is the beggining of their mating season. If one of yours is a male, you may start hearing a deep, low bellow. Definitely gets your attention.
In June, we will be gator free for two years. Good luck.