Lol... good luck.
I have enough trouble "chasing them down" with a .22lr, let alone a knife. I actually killed one this morning in my yard... this guy has gone under the fence of my garden and ate the tops off my bell peppers.
Whacked it with my recurve at ~25 yards.
I second the suggestion of traditional archery hunting rabbits for increased difficulty, since it appears that is what you're after.