Don't go up in a plane with someone you are emotionally involved with and where there could be loyalties in question. I think her father, as a professional instructor, would be silly to take you up.
I don't mean to be mean by saying that - I just think it is not the most sensible thing in the world to be doing at the moment.
I wish somehow there was a way to diminish the pain of betrayal etc but blood is thicker than water. In my situation I had always been the one to keep the contact going with H's family, and even though they were supportive and H and I are still together, the dynamics have changed. Between one reason and another I now leave all contact between H's family and us upto my H. I don't refuse contact with his family, (apart from one section for other reasons), and I don't try to stop full contact between my children and H and his family. However, I no longer initiate like I used to. Our house used to be where everyone met up for family gatherings etc - I am not willing to put myself out for these things any longer - my sanity is way more important.
Saffie me 46 H 46 M in 1986 D20,D18,S16,D13 H's A 01/05 to 07/06 H recommitted to M 07/06 renewed vows 09/06 Going from strength to strength