I really can't offer any advice, just a story. My dogs both have a strong prey drive--shibas were originally bred for rodent hunting, and Abbey, well beagles hunt. They sit out on the patio and go CRAZY if they see a bunny--running back and forth, barking whining and carrying on--I don't know what would happen if they could get to it!!

I hope someone can help you out, it seems you really want the bunny!!