I don't think Harry will die in this series (though, like us all, he will die eventually).
That's not to say he won't lose a great deal and suffer, but I don't think J.K. will kill him off. I can't really explain why I feel that way...one long post you're saved from!
When I read "The Ancient Mariner", a piece of British literature, I will say one quote has stuck with me and for some reason, when I read this thread, I thought of it:
A sadder, but wiser man he rose the morrow morn.
I feel, at the end of the HP series, that'll accurately describe Harry . . .