I've been bothered by the answer I gave to the Political Views section of my Facebook profile. At first I called myself a Pacifist, but I couldn't get to the belief that violence is never an option. Sometimes you might have to defend yourself. I changed the answer to Anarcho-Syndicalist, but that wasn't quite right either, since it still seemed to involve money as an underlying factor.
Then I realized/remembered that political views can't really be separated from economic views, so since there doesn't appear to be any category that I fit into, I supposed that I'd have to create one. I thought perhaps the term "Communitarian" would be close, but I found out that it already exists as a kind of political philosophy. So I've settled on Paraeconomian.because what's being discussed here is best described as Beyond ("Para") Economy in the common use of the term. It isn't really beyond, since if I haven't mis-remembered my Ancient Greek studies, "oikos" (the root of "Economy") means "house", so literally "Economy" means "study of household affairs".
If we extend "household" in the manner of Marshall McLuhan, the larger unit would be community. Operating without money would necessitate a deep involvement in a community, since any enterprise beyond a one-person one would necessitate involving other people who, of course, are not getting paid. The only way they will work for you without compensation is if they know and respect you as part of the community. They trust that you will help them later when they need it.
Communities used to be defined by geographical area in pre-petroleum days. Likely you knew all your neighbors, most of them being within a day's ride by horse or coach. Nowadays communities are mingled geographically because of transportation and communications technologies commonly available. I suspect that as petroleum becomes scarcer and vastly more expensive, communities will have two aspects: a more contracted geographical one and a more expanded electronic one. I'm presuming here that in the future it will become vastly more efficient to move information electronically than to move people physically.
As an individual, then, you're going to need two reputations: a local physical one and a wide-area info-tech one. Given that they are not entirely separate, the best recipe for success would depend on ensuring that those two reputations do not conflict.