I would be inclined to suggest a third option: unless you do a lot of fast action photography, instead of deciding between 5DIII and 70-200 2.8 II, why not split the difference and get a 6D + 70-200 f/4 IS or 70-300L? Or, as a fourth option, what about renting for your trip? I wouldn't worry too much about learning a new camera on your trip - it's not as though you're considering switching from Canon to Nikon....
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