You can't really avoid it if it was to happen regardless of the type of payment they use, even if you were processing credit cards through other means they could file with their credit card company. (after that it's just a long battle if it happens)
The chances of that happening though I would say are pretty slim.
When I deal with potential customer I usually tell them before they even pay when my next shipping availability will be, but that even than things such as weather could delay the transaction, by doing so I never had any issue and people always pay right away (unless they use a plan).
All you can do is research get a feel for the buyers (I decided not to deal with some based on that).
If a buyer is not trusting me I am not sure that I really want to deal with them to start with.
Best you can do is ask for a non refundable deposit and payment 24 hours prior to shipping if that makes them feel better. Also don't hesitate to use references if you feel that they need that to feel better about their transaction with you.
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