Ask HN: How would you register a domain anonymously?

Not with the intention of using it for anything illegal. Your threat model is not the US government or any three letter agencies. Let us propose that your adversary is a determined media organization or some other corporate entity that has the budget to easily approach an employee or employees of a domain registration company with something an offer of something like $50-100K or more in return for the name of the domain registrant. All it would take is for one employee to take that offer.

So how would you do it?