The Bishops won't let me work for them. What do I do?

I'm trying to do a playthrough where the Wrights are the dominant family in New Reno, while the Bishops are still run and both the Mordinos and Salvatores get removed from existence (basically the ending that's implied to be canon in New Vegas).

However, when I picked up the briefcase for Mr. Bishop from Moore, I asked him for money, and that fucking toucan slipped a note telling Bishop to kill me after delivery. How do I fix this problem? I wanna impregnate Mrs. Bishop or his daughter, but still leave the family running, without shooting my way out of the casino, and as far as I know, the only way is by working for them. Otherwise, they always turn hostile.

What should I do?