Actually, the book Pharaohs and Kings: A Biblical Quest is excellent on matching the Bible to the chronology. As is sometime the case in ‘science,’ the entire chronology is based on one person’s contention and no one worked to disprove an assumption. Ever since then, nearly every archaeologist has runs and worked, based on this assumption.
Quibble — the entire conventional chronology of ancient Egypt wasn’t based on one person’s contention; that said, Rohl’s “Pharaohs and Kings” is an interesting introduction to some of the problems with the conventional chronology.
Also as PIF notes, trying to use the conventional chronology to date events in neighboring areas doesn’t yield productive results. The neighboring areas (including the Old Testament Israelite period) make a better set of timelines, which then can be used to straighten out the massive problems with the Egyptian chronology.
Thanks BenLurkin for the ping.