@dwdvagamundo - read my response. Then read her personal attack accusing me of being a tourist who doesn't venture past Piazza Municipio - actually that's too far according to her. Lol. Her original post was overly negative and alarmist (dark alleys, large scale poverty) and then it morphed into something else again (seeing someone get punched in the face...making it appear as though street violence toward women is commonplace in Naples - it categorically is not).
I have no blinkers on - I see it as I see it - a rich, vibrant, 3000 year old city full of beautiful people who will go out of their way to help you. As I said, I do not deny there are poor people and beggars but realistically I see just as many in other Italian cities.

Anyway the OP has decided they will go and I wish them well.

OP - if it fits in with your schedule, Naples' HoHo buses are good value. One line takes you on a route that encompasses the views over the bay without navigating the tricky local bus timetables. They depart from Castel Nuovo and a ticket is valid 24 hours. Some information is here:
http://www.city-sightseeing.com/tours/italy/naples.htm

Thanks Blueeyedcod! I appreciate the info. My friend and I (us '40-something-girls') are going to Italy this Fall, most likely Naples too. I've been to many cities all over the world, and it's always smart to be aware of your surroundings especially as a woman. Your advice was wise and helpful but not presumptious. Ignore those nay-sayers.