Well, biblically (from my understanding), the sea covered the Egyptian army--the chariot ranks and cavalry but not necessarily the Pharoah. I'm not pretending to know who was Pharoah around the time of the Exodus, but reading others' guesses is fun. From those who study what little is known of ancient Egypt, there are several different opinions on when Neferhotep I lived. I haven't found names of any archeologists, yet, who compare physical finds with biblical text (only mentions of "archeologists," so far). There are some "biblical historians" named, though. It appears that most (if not all) archeologists disagree with both biblical and secular historians to a great extent on dates.
Agreed, nobody knows who the pharoah of the Exodus was. I, like you, have studied the subject, and the arguments over dates and dynasties is intriguing.
So is the debate over ethncity of the pharoahs, which makes looking at their statues interesting. Young Neferhotep looks very African to me, but who knows? We do know that one of the pharoahs had a Israeli ex-con as his right-hand man.
The biblical account in Exodus mentions demise of the Egyptian army, but Psalms mentions Pharoah himself perishing in the sea. Thus my comment in the earlier post. It's an obscure passage, but it's definitely there. If you'd like, I'll find and post it later.
There is an excellent book on with an alternative dates theory called "Pharoahs and Kings." It is an easy read with some great charts. The author points out how much of the date assumptions made, are all based on one person's original date assumption, and how few question the premise.