Perhaps a different approach? A methane biodigester for the dog poop perhaps? Found a youtube video for the idea.
https://www.youtube.com/watch?v=ha8NiP6Y9lg
Another thought is that if you have your chicken coop in the front yard, some dogs may like to chase and terrorize the birds. Dogs have different temperaments, and the temptation to break through the fence to kill a few chickens may be too great for them.