Which Shakespeare monologue or soliloquy is best for a Shakespearean acting company?

I want to audition for a Shakespearean acting company and want to know which monologue or soliloquy from Shakespeare should I use in my audition. I am a male, but honestly I prefer to do a female monologue or soliloquy because they are much more emotional and dramatic, such as Lady Anne in Richard III or Lady Macbeth in Macbeth, and I think I will be able to show my acting ability if I select a female part for the audition. But since I am a male, I figure I should do a monologue or soliloquy from a male.