Flufficuffs Adventurer
"I went to explore the Bunny Girl dungeon. It was amazing. Being delivered home like this is a bit embarrassing however."
Flufficuffs are not applied as a punishment but rather a favor, marking you as somebody the bunny girls want to entertain.
"With only your hands tied you can go visit your friends in town or do whatever you like. Of course you can't work, but if you need anything, just come back to us and we'll provide it for you."
Those who actually deserve punishment get various kinds of unsexy bad luck and misfortune.