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Both of these things (amount of research... expressing own opinion) may not come through as easily in a distance learning/ homeschooling environment.
I have no personal experience on this yet,so do not know what may be accurate or not. I DO know a lot of very bright, gifted homeschoolers though who have managed to thrive and get into top Uni's ( sometimes at a young age). Some have managed to thrive on AP/IB classes. Some how they all found ways around the challenges that you are speaking about.
I think that when you are on the road, you have to think about your child's education more like a homeschooler, since you are more responsible, and one can learn a lot from them. Harvard, Yale and Stanford all appreciate what they bring to the table.
My totally homeschooled niece managed to go to Rice Univ. very early ( which is THE top school for her Chemical Engineering major) and graduated at the top of her class years younger than the rest. She had some wonderful internships during the summer in her field out of state and was recruited for a top paying job after graduation at a very high salary. She bought a house and paid off her loans while allowing the company to pay for her night school while she got a master's degree in Chemical Engineering (also from Rice). She is not even an ambitious type.
I know a ton of stories like this and studies show that homeschooled kids do better than private or public schools at Uni's, so my guess is there must be some good ways around the challenges that you mention.
It is true that books outside of English speaking countries can be a challenge, (but some of that can be handled through e-books) and time will be a challenge if one is going fast. Internet can be a challenge as well, although internet cafe's are almost everywhere. Homeschoolers can homeschool all year round, which can be an element that helps with the time factor. We continue to homeschool in English, even when my child is in the local school in Spain ( because she is mainly there for the language, culture & literature immersion of her second language).
I know that the sixintheworld's two eldest children managed to do online learning as they went at a pretty fast pace around the world in a year. They also had no experience with homeschooling or distant learning before leaving ( I believe). They are very friendly, so you might be able to write to them via their website for their experience of the pro's and cons ( especially CAJ who knows they are doing just a year).
I will be interested in seeing how this works out for all of you, so keep us in the loop, by reporting to this thread from time to time as you go. What works, what doesn't, how you adjust if you need to , how you make it work etc. It seems it can be a great resource for others down the line as we all learn a lot from each other. Every family has a unique trip and process, but input on the pros and cons supports us all.
Good luck on selling your house bbtz! Also get a good plan on how you will move out and leave on the trip all at the same time, as it is tricky ( and ultra hectic at that point where you lose all references points). It is not like moving and it is not like leaving on a trip...it is more challenging, because these things get combined. ( I was up most of the night the last night). Still, it eventually all comes together.

This is probably going to be harder with the backpack method than what we go through. We do some traveling like that ( with just a daypack using hotels, pensions, rentals etc sometimes for months & bring our computers, violin and homeschool basics with us) but find our home on wheels a much easier way to go and can carry MUCH more. We like the RV method so much we are looking into shipping it around the world. I was amazed how quickly we adapted to the small space & it has a way of keeping our day-to-day life similar to home. We could not do everything that we do without this extra room ( digital piano, printer, homeschool books & supplies etc).
It will be interesting to see how you all meet the challenges! I know you will find a way that works for you!
( Thanks for posting your website Zoinks!)