Not quite the same situation, but when my folks wanted to move us to some property to have horses, we sort of had to go through the same thing. Several neighbors were adamantly against us getting zoned for horses, and their reasons were pretty much in the category of "uneducated fear". Like their toddler getting in the horse fence and getting trampled. Smell and flies. My parents worked to make the farm a place where the kids were welcome to come hang out with the animals with adult supervision, and educated people about horses. And how, no, horses do not generally hunt down toddlers for sport. (I've known a few...)
Would going the educational route be beneficial to you? Bring some eggs, perhaps? Or perhaps go with bantam chickens who would be happier in a smaller area? The seramas are quite tiny and might thrive in the run you have.