Perhaps I am being frank, but if you are so tired that napping on the floor of a terminal (in uniform) is your only resort, I think you should be calling in fatigued. If not at that time, then later on in the day when the fatigue you are trying to prevent finally catches up to you.
That being said, pilot fatigue is a serious problem. I am glad the media is finally catching wind of this--though it's doubtful it will lead to anything, at least not until more people are killed as a result of fatigue issues.