i think you've done your work to show your loses and potential loses for rare/hard to find birds. and this would probably be good with the judge and could get you the full amount you are asking for. it may also depend on the area you live in what a judge might think about chickens, but if you can give them enough evidence to support you reasons for the amount you are requesting, they more than likely will listen and realize you have you stuff in order and understand the laws and how they work.
i'm sure that when mentioned that you had rare breeds, that would throw up red flags to both the neighbor and the judge. 'rare' can mean a lot of money involved to replace with good breeding stock, or even ANY breeding stock-young or old! those dogs took away from a lot more than just your family, they also took away from others that are trying to help keep a breed that is probably nearly extinct from doing exactly that!
i think the idea someone else mentioned that you have provisions that the costs could go down if the recommendations were put in place by X amount of time/date, is a great idea.