As working with a logistics company once I can say most don't want to mess with little loads with a one time customer. They will charge per space taken up (Weight also factors in). The companies that do can save you some as they get bulk discounts. But you have to be worth their time setting up a new client. One small miner box is not worth it for them.
If you were ordering bulk i could see saving money scheduling this. But I honestly think you are best off with going with shipping from a mining company. I don't see you beating them on buying one miner.
You will have trouble beating the standard companies unless ordering in bulk and shipping in bulk.
The only option i see as far as reducing with 1 unit is if you use a hosting company in a cheaper place to ship to. But that loses your "free" electricity.