I think that using all of the current events would be denying the players the ability to react to all kinds of fallout from what Dresden himself was a part of.
For instance, St. Louis or Kansas City are fantastic staging grounds for the various Courts before they make a move on Chicago. It's outside of Harry's immediate range, but not outside of their resources.
I plan on starting my Chapter before Bianca's death and letting them feel the escalation in game as events unfold. They don't need to know anything about what Harry's doing to further the plot and it gives my players the chance to think of him as a lunatic, a hero, a bad-cat or even an untrustworthy Lawbreaker. It would be up to them, but entirely an outside perspective.
Most of the books really have nothing to do with any other chronicle anywhere. They're just good examples of how to weave your own story. If you go through any book and take the basic steps down and then build your story with new names it can be just as entertaining.