I asked your question to Rabbi Shlomo Fisher, shlita. He ruled that in your case there is no obligation to light Chanuka lights.
This can be explained as follows: The Talmud describes the mitzva to light Chanuka lights as "a candle for a person and his home" (Shabbat 21b). The obligation to light Chanuka candles applies only if you are based in a home at the appropriate time for fulfilling the mitzva.
But if you're riding with your family in a car or plane the entire night - and there's nobody residing in your home - you're exempt from lighting Chanuka candles.