If you do a full risk analysis of the two options, you are indisputedly drawn to shipping. Despite the random tales of woe, there are enough companies shipping aircraft on a commercial basis without mishap for this to be the preferred method. With modern day 'shrink' wrapping and protective finishes, it is a guaranteed and insurable risk.
The flight option can only be regarded as a personal risk laden adventure. If that's what you are after, then fine, but commercially it is exposing you to a high percentage chance of the risk of complete loss of the aircraft and the crew, as opposed to shipping whereby damage to the aircraft is the most you need to underwrite.
The sheer unpredictability of the weather at those latitudes, plus the prevailing winds will always put you on the wrong side of the risk equation, or at least with zero margin for error. That's without even considering reliability and maintenance issues, or survivability in case of a mishap. Not many 109 FOBs working off polar ice floes.
'Do I really need to do this?" and "Could it kill me?" are always valid questions for helicopter pilots, and they work in this case.