If I had a grandpa who was a millionaire on one side and a great-grandpa who was a millionaire on the other side, I'd just pay the $500 and complain to my grampy about what happened. Then I'd be a big, gossipy bitch about the girl who stiffed me.
Of course, since this is Claire, and it's considered growth that she didn't set Chanel on fire or try to have her run out of town, calling the cops seems in character. She's a privileged white girl that doesn't quite understand racism but will use it as a weapon. Her history with Haley shows that.