I want to give this a thorough reply and hopefully won't run out of time. I believe it's always important to follow Biblical principles, but I question how much of the ideas we end up with regarding headship and submission are really a part of what the Bible is trying to teach. For example, I don't think headship necessarily means the husband has to be the more publicly visible and vocal of the couple. Nor does it mean he has to be in charge of implementing important decisions. I would just suggest that when you read passages like Ephesians 5 you be sure to include verse 21 where it says submit to one another, or as Philippians puts it consider the other better than yourself.
On the practical side of cross cultural challenges (since I have much more experience moving to and living in another country than I do at being married) here's what I have to say: Keep in mind that when someone moves to another country they don't know how anything works anymore. So everyday tasks (like going to buy groceries) are much more difficult and tiring. So his first months to years in country he's going to be tired and frustrated a lot of the time for what probably seems like no reason. Doubly so if he's trying to learn the language. In an ideal world you could visit his country for a bit, make a list of everything that people do in their daily lives that seems strange, and make him a cheat sheet of the "normal" way to do it in your country. The best things you can do are to be extremely patient and encouraging and celebrate the little victories and progress you see. You can also let him know about unspoken expectations especially in areas of employment and social situations ( eg: how many hours is full time work? What is a normal amount of paid time off to receive for a job, normal salary? How soon after an interview should you follow up? Should you send a thank you note after an interview? How long does an interview process usually take? Are you seen as not committed if you don't ever volunteer for overtime work? Is mandatory overtime normal and to be expected? How are working hours calculated, are there paid breaks ( when I worked teaching overseas, I was paid only for the time spent in classroom, not for the 5 minute passing period between classes) Who all do you get christmas presents for? How long does a dinner invitation usually last? etc.).
Despite your best efforts at informing, I also want to say that no amount of information can completely change a person's cultural conditioning. Even when he knows accurately exactly what's going on and what's expected, there will be times it just annoys him and he hates it (and if he's anything like me times when even after much experience of how it is, he still expects to find somewhere that does things normally (ie: like they do back home)). Hope some of that rambling helps, mostly it's just to say expect things to be difficult and stressful at times and prepare to meet it with extra love, grace, and patience.