I am a City Planner and I often have to give people the bad news, but I wont stick-up for this crab. I would go down there and ask for 3 things and go through them:
1. Official zoning map
Make sure you are zoned what she said
2. Copy of the ordinance
Make sure the ordinance precludes them in your area
3. List of the County Commissioners (or whatever they are called there)
Contact the Commissioners and maybe the County administrator to see if there may be support for looking at changing the ordinance (it is not the constitution you know) also, explain to them the interaction you have had with the crab.