http://en.wikipedia.org/wiki/Somalia
The answer to all idiotic Anarchist fantasies.
I swear if you call me an idiot one more time I will call you a one more time.
Anyways, Anarcho-communism is exactly what it says on the tin, communal ownership of the means of production. This means everyone gets a say in the way the factory or knitting circle does business with other organizations. Now this means businesses will have to be smaller amounts of people for the farther back in time you go.
The community that owns the means of production would have dependants who have no say in the means of production, but instead rely on their representatives to gain them some sort of benefit from the factory. To put this in simpler terms, John has a kid named Bob, Bob can't work he's like 3 years old. If John works well he can gain himself and Bob shelter, food, water, child care (for when Johns at work), education (so maybe Bob can support him in his old age) and other things.
Now, that sounds suspisciously like how things work today, so let me point out the divergence. John and the rest of his union have health insurance that isn't divided into premiums or tiers such as first class or whatever. All the people in the union have similar plans for their factory community.
John also receives an egalitarian reward with his other workers for his labour. If not, perhaps those getting more are doing a more dangerous job. Perhaps the Union voted to give the other workers (the guys whose job descriptions aren't Johns) raises because they need more of that type of worker and need to attract them. Whatever, the point is John has the power among his fellows to influence the duties of the Factory Executive to raise or lower the wages to run the factory.
This idea repeats for many means of production. Mills, Farms, Textiles, hey even newspapers can be co-ops. However aside from Community efforts to pre-plan quotas and trade with other communities or unions for shortages in the future there is little that can be done without the required amount of pre-achieved labour that would allow the people to overcome shortages.
Which is where benefit of the doubt comes in. Instead of credit, which is essentially the same thing backed up by the threat of imprisonment or force, the idea of giving other people a loan based on the "Benefit of the doubt" is increased in the Anarcho-Communist Society.
After all, you can't have a lassez-faire society without trusting that other people will do their jobs while you do yours. Knowing this, people in certain communities will trade with other communities and if they're short and this shortage would cause problems for that other community it would not be too much to ask that the community that can take care of the others needs would do so if they are able. The ascendancy of "From each according to/to each according to" to the community level instead of the individual level would be required for a multi-community Anarchist state.
To put this in perspective, we'll have five (yes a grand total of five) Communities at play.
Fishington is a fishing town, and has all your fish and coast-based needs, the community of workers is close and have a normal amount of dependants (youth and elders).
Rockinghaven (not rockingham
) is basically a quarry town with a small lumberjack community on the outskirts; they have a spread out community of workers and a sub-normal amount of dependants.
Wheatville is the town for farming crops like wheat, corn, cannabis, peaches, apples, basically the good stuff. It has a spread out community of workers however it has a larger ratio of dependants (farming communities usually do!)
Coal City is a mining town which trades mostly in the coal (like you expected gold?) and has a normal amount of workers and sub-normal amount of dependants
Capital City is basically what it says, and though it has a high number of workers it has a high amount of dependants because of its military base and university system (both of which are not immediately productive).
Okay, so let's say that each community is very productive.
Fishington puts out enough fish to send to the other communities as well as meet its own demand. All cities do. But then, disaster strikes, some hurricane has damaged boats and they can no longer meet the required amount of fish for everyone, so Wheatville will have to go the extra mile; but since Wheatville has too many dependants for its own production it's gotta send them off to be trained at other trades (or off to the military or college) or it could import more workers from places where there are less-than normal numbers of dependants (like Coal City).
It could even do a bit of both in order to achieve the best effects for details which have other effects that we won't go into.
So, let's say that most of this is plausible, and the ... Americans decide to go for the Anarcho-Communism thing, with the entire "requirement of trust" for the lassez faire society fitting in with Christianity, perhaps the majority could get it to work. The United States of America won't do as a name, the idea is supposed to be the local community helps each other out so perhaps something like the American Social Union, where if you're in the union as a community you register with the other nearby communities of workers in order to get the lists and send them to a central processing area (the capital).