I don't think I have this madonna/whore complex, I've just read read a bit about it (outside of my specific problems, that's a very interesting topic though, gonna read more about that)
I don't consider any women either madonnas or whores, I have no morality, for me there is no good or bad as long as you don't hurt anyone, thus for me no women can be whore or madonnas
Anyway, as to your family, who's paying? If you, then just say no, and don't tell them what flight you're taking, what time you're leaving, where you're staying, anything. If they already know, change what you can and don't tell them.
Yea I'm paying, so in fact you're right I can do whatever I want