Honestly, nothing holds up to Mullvad [1]. They don't even take an email address while creating accounts, and you can pay easily with Bitcoin or even with cash mailed to them. I'm not affiliated, just a very happy customer. Mullvad is also who Mozilla trusts for the Mozilla VPN [2]. You can sign up with that if you'd like Mozilla to get a cut. [1]: https://mullvad.net/ [2]: https://vpn.mozilla.org/
If you're serious you send a machine, that you own, to a colo provider and you register for service with a corporate entity that you created for just that purpose.
Your name exists nowhere and ... regulatory inquiries are directed to your corporate contact email.
Or, if you feel like that's a heavy burden and you don't attach any value to the physical machine (some old 1U, right ?) then you can just sign up under an assumed corporate name with some colo provider that doesn't care that it is, or is not, an actual corporation and you can pay with your non-AMEX credit card[1] using whatever Mickey Mouse name you feel like.
Trust me - it won't take long to find someone who will take your money.[2]
[1] Only AMEX validates First Last ...