Write up a proposal to change the ordinance to allow 3 or 5 hens and 3 bunnies, without permits, as long as their coops are 15 feet from property lines and are kept clean. Then, make it your goal to get the signatures of a lot of local voters. Start with your neighbors, friends, relatives, co-workers, teachers, parents of your children's friends, your church members, your pediatrician and his staff, local veterinarians and their staff, local petshop and feedstore employees and owners, the local scout troups, etc.
Then, recruit some high school students to take the petitions all over town and stand in front of stores and churches, getting signatures. High school students love pets and could be very very heartfelt and persuasive when asking citizens to sign the petition. Plus, since they are the future voters in this town, you should be getting their signatures, as well. Just have a check box on the petition for "current voter" or "future voter". Either way, the elected officials should pay attention.
T-shirts with the picture of your daughter with the Bunny and chicken would be good, too.
Best of luck,
Chel