Where are you staying on AC? Some hotels have in-room or office safes.

Also, think seriously about making a couple copies of the passports and store them in separate places, even trade them so that each of you has at least one full set. Then, if you think you need to carry your passport, simply carry a copy instead. Copies also help if the worst happens ayou do lose the real deal.

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But then what do I know, I am but a mere caveman