So Bounty Mountie is stupid. We all know this. I suggest the following rejigged card to replace Bounty Mountie in your decks.
You may play Mounting Bounty Mountie under any bunny in the bunny circle. Starting at 1 dolla, on every turn, the bounty on this bunny increases by 1 dolla (taken from the discard) until it is killed. The player that killed the bunny claims the bounty.
Come a day there won't be room for naughty men like us to slip about at all. This job goes south, there well may not be another. So here is us, on the raggedy edge. Don't push me, and I won't push you. Dong le ma?