RABBIT MYSTERY SOLVED!
My dad emailed me the following this morning after seeing the stream:
"I can shed some light on the dead bunny situation. I was mowing once and ran over a nest of bunnies. It was awful. You guys were discussing how the rabbits wouldnt hear the mower coming. I think the key here is that they were bunnies, and probably not mobile yet."
He says that it was actually on our side of the fence, right next to the church yard. Case closed!
you need to mention this on Beastcast.