I feel you know the answer already.
I travel a lot also. I also own a Chromebook, in fact I'm typing this on Toshiba Chromebook 2, I am a little prouder today as I managed to replace battery and screen via screwdrivers and YT guides but the power cord into the Chromebook is the next weakspot (it is wobbly loose).
The Chromebook tends to not like the leaving home. It's just too fragile. I have had to buy a total of 3 replacement screens across the total of 10 laptops I maintain for friends/family as the screen flexes too easily and cracks. I know why: the use of plastic in the shell is not strong enough, if you replace with metal it makes it very heavy.
Buy a different device, one intended for travel which is USB input. There are plenty out there from Lenovo, Dell, Asus, etc. They are physically designed differently for travel, often with metal cases to handle being squeezed up hard against other items so the screens don't break, and (to your question) will take USB input and then can be recharged off a Powercore.