Southwest's response to my inquiry is that there's nothing they can do; that I accept the full liability for any items I bring on the plane. The Customer Service Representative then directed me to the terms that I agreed to when purchasing the ticket, and 4/5 of the way through a 50 page document, after an entire section discussing how Southwest covers damage made to carryon luggage stored in the overhead bins, there is a small clause noting that it does not apply to "personal items."