First, there's a difference between flying in a girl you've never met and a girl you already know.
The only way I've flown in a new girl was when I told her that she needed to fly herself to me and I would reimburse in cash (plus allowance we agreed upon). This worked very well to bring me a petite, Asian, midwestern engineer who wanted to visit the eastern city where I was anchored at the time. She had to trust me to reimburse, but she also had her own means. I never had to provide any documentation related to my name.
I've also flown a familiar girl to me under the same conditions. (She flys herself to me, and I reimburse in cash after we meet.) In this case she trusts me totally to follow through, and I never need to reveal any identifying info.
Thirdly, I paid in advance to transport two 18yo hotties to me. But it was only bus fare, not flights. We had met before in their city. When I realized that only dozens of dollars would deliver two, sweet, 18yo pussies to me in my city, I did not hesitate.
Lastly, date a stewardess. My last flight attendant could come to me almost no matter where I was. No cost for her or for me. Endless pussy, limited only by her need to get back to work.
My bottom line is this: I don't give anybody money to fly to me. If they like me and they trust me, they can collect their money after we meet. However, if I already know them, I might make an exception.