For anonymity alone, no. You ought to at least aspire to live the nomad lifestyle first and put up with its challenges, then enjoy whatever anonymity comes from it as a bonus.
If you don’t mind apartment living, you could consider the arrangement I had at one point. Private landlord who didn’t run background checks, accepted payment in any reasonable form, many tenants, communal mailbox without apartment numbers or names required. Internet, utilities, etc. all rolled into rent and not individually metered. Might be harder to find but they exist.





Would like it more than Signal ideally. But it’s hard enough already to get people over to Signal. Couldn’t justify how much battery its notification service drained for the few contacts (all nerdy close friends) I had there. That was over a year ago so I’m interested to hear if they fixed the power consumption issue.