kyun.host is mullvad-like insofar as your account is identified by a random account ID and they dont necessarily have an email etc on you (you can provide one so they can contact you if you want but that’s optional). Have not used their services myself but I’m aware of them.
I am not super knowledgeable about crypto but I thought Monero was untraceable? All the privacy-focused services I’ve seen allow you to pay by Monero. A few accept cash by envelope too.