The real trick is just not to have enough money for her to want you for your money ;)
But seriously, I think that crosses a lot of peoples minds, even those who aren't loaded. Very sound advice for dating in general is to focus more on the time spent with the person you are dating rather than some crazy expensive date! Very nice post

P.S. Although this problem is typically comes from the man being rich. It applies equally for woman who have money. There are more than enough guys who would love an easy life by marrying some rich woman.