My 16 year old son is autism spectrum.
The chickens are considered therapeutic by his doctor.
Yes, there are people who abuse the system. That does not mean anything that isn't a dog or a cat is beyond the realm of therapeutic.
That said, to the OP, don't use this as a loophole. Find out what your town ordinances are and work to change them. You do that by going to town hall meetings or harassing your freeholders into changing the ordinance. I also live in south Jersey; where we are, *everyone* has chickens and usually goats as well (not to mention shotguns in the truck, because turkeys everywhere - they come into the yard and steal scratch when we aren't looking and the dogs aren't out! The chickens get angry and stand there scolding them). A couple townships over where my sister lives, however, there are no chickens allowed. My BIL wants them, but he does not have the time to go harass the Barnegat town hall to change the ordinance.
If you have the time, you have the means. Unfortunately, that time - like that $250 fine - is not something we all have. If you don't have the time to go talk to the freeholders and get them to change the ordinances, you're going to have to find people to take your flock instead. Many of the SJ ordinances are you can have X chickens and no roosters (I believe Tabernacle runs that way) - be sure you know exactly what the laws are before you give up and throw money after unreliable people.