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Truck freight is usually the most cost effective way. That's how engine swaps are usually sent. I believe the average cost is around $200-300. People usually strap the engine down onto a pallet and shrinkwrap around it.
I shipped a transmission from Winnipeg (thats 5 hours north of Minneapolis) to cali for $70. I can't see it being more than double that from Minnesotta to Alabama (no border to cross or nuthin)