What should be done regarding Salat on a long flight?

I am traveling to visit family in Turkey, and I have with enough time to pray Zuhr, but not Asr, before I leave. The flight is a 12 hour flight straight from LA to Istsanbul, and thus I won't even get into Istanbul the way the time difference works until the next 5:00, meaning I will be flying during Asr, Maghrib, Ishaa and the Fajr of the following day. What should be done in terms of Salat? There most likely wont be room on the plane to do Salat standing and/or facing Qibla. Can one combine all prayers at once? The flight will be so long even if I pray Zuhr and Asr at the same time I will miss Maghrib, Isha, and the next Fajr, should I just recite Salat in my seat? Or pray when I get there? Also, I follow the Hanafi mazab, and I remember hearing that it is haram to combine prayers for Hanafi. If that is so, what should I do?