No freakin' idea, never did it. Your idea sounds good - I would ever check it few days before travel, contacting airport officials (maybe electronically, via mail with photo?), just to be sure, that I won't be forced to leave it behind on airport.
Hm, I always mistake phillips with panasonic, I mean the latter, in fact. Do you think that brand like them would cheat on capacity? In my country, it's possible to buy 3100 mAh version quite easily, locally.
BTW, in Your case, You use 3 18650's, so it would be 9,3 Ah. Even if they don't keep capacity to single mAh, it's a gain of 1/3 power draw frome each cell - realistically, I would expect 9Ah of practical power.