Ceremonies and Ritual in Fiction by Egantx7

Question 2

New members of this organization must take an oath which notes that those who reveal the organization's secrets will see their stomach become bloated, and [their] head plucked of all but three hairs. Jack Nicholson and Orville Redenbacher sit on this organization's world council. Identify this organization that makes initiates go through ordeals called "The Wreck of the Hesperus", "Crossing the Desert", "The Unblinking Eye", and "The Paddling of the Swollen Ass ... with Paddles", all of which are the same gauntlet of paddles.

The Stonecutters (from "The Simpsons")