More power to you in finding something a rabbit won't eat. Can you grow a feed lot for them at the edge of your property, or throw handfuls of seeds into your neighbor's property (oh, dear me, I didn't say that, did I?).
Hmmm I've been doing some research and it seems that any veg that's good for humans is also good for rabbits - sigh. I'd been hoping to do fava beans, or peas to build up some nitrogen. Someone reckoned that tomatoes were good as the foliage is poisonous but someone else reckoned that her rabbits didn't mind the poisonous tag and ate them anyway!
Snares - might have to look into that as civet de lapin sounds good. We feed them, they feed us.