I doubt you can do it at all, and my argument ultimately comes down to plumbing.
Everyone needs plumbing that works. If you have any kind of population density without it, you get cholera. Cholera is fatal and it’s a lot cheaper, easier, and better to prevent than to cure. Plumbing needs to be maintained, and that means two things:
One, you need people who know how plumbing works, and, two, those people must be able to make decisions binding on the rest of the society regarding plumbing. If you don’t have the first part, your society is full of shit and, soon, your drinking water will be, too. This tends to limit participation in the big decisions because, frankly, most people don’t care enough about plumbing to learn how to make the big decisions. Which is a good thing, compared to what happens around the small decisions.
If you don’t have the second part, and the group doesn’t have the ability to make binding decisions, bikeshedding takes hold and nothing gets done, because everyone feels entitled to vote or otherwise influence the project regarding the small decisions. What diameter of pipes do we use? Is hot on the left or right? Are threads clockwise or counter-clockwise? None of these matter, in that every possible direction a small decision can go still leads to a workable system, but you do need to decide something before any pipe can be laid.
So you end up with a plumbing cabal, a group of people who run the plumbing in the society. This is a classic oligarchy, unelected and not entirely accountable to the people affected by its decisions but still holding a certain amount of power. It is an identifiable source of potential coercive authority and, therefore, not anarchic.
Now, apply that to the arcane, bureaucratic business of running the society as a whole. Again, most people don’t want to do that directly all the time. And enough people feel entitled to influence it that, again, you get bikeshedding unless you have someone or some group with veto power. Which isn’t anarchy.
Now, if you define ‘anarchy’ as ‘representative democracy with instant recall’, which I have seen done before, I will be a little disappointed in you.