I used to feed the belly to the cats when butchering but finally made a batch of jerky after butchering a pile of 12 week olds. We used the same jerky recipe for bunny bellies that we use on venison. I like it but it's definitely "chewy". In fact, if you eat too much, your jaws ache the next day (which is actually a good thing, otherwise it would be gone in no time).
I guess if you didn't want to make tough jerky or waste it, you could grind it with the rest of the bun and at least end up with usuable rabbit burger.