Sorry. Perhaps I wasn't clear. These are the bits of information I am going on:
a) evidence of chariots puts the exodus after the Hyksos invasion.
b) Pi-Ramsses is mentioned pacifically, putting the action after the time of Ramsses II.
c) the stela of Merenptah tells us that the Israelites were in Canaan.
This means that during the New Kingdom the exodus happened (chariot evidence). By then the ancient sites around Pi-Ramsses were in ruin. Ramsses built Ri-Ramsses, naming it after himself. The Hebrews leave this city at some point in the New Kingdom. Less than a quarter of a century later the Israelites are found wandering Canaan as a nomadic group. The Egyptians may have interpreted the Israelite leader as a Prince as they had no name for an elected government leader. To the Egyptians the ruler of a nation was a King or a Prince, perhaps. Just by using these three pieces of information I feel that the exodus, if it happened would be firmly in the early 19th Dynasty.
Okay here is your problem with basing the Exodus in the New Kingdom simply because Egypt had chariots at this time in accordence with Biblical wording. Your hunting and pecking at Biblical sources for your desired information. This is how, chariots are not mentioned in the Bible until the time of Moses in Exodus. But camels are mentioned in the Bible in Genesis when Abraham sends back his servant in search for a bride for his son. If, you insist on using chariots as a determinative for Biblical timing. You almost have to include camels as well or your stand to face the charge of hunting and pecking, as i leveled against you, Si-Amun. Now the real problem is faced, camels were not domesticated by man until after 1000 bce. Some centuries after the New Kingdom, and long after Merenptah's Victory Stela. But this is not possible, because Abraham and his camels come long before Moses and Pharaoh's chariots. See the problem?
If you want to argue that well redactors, and many experts do argue this, stuck in camels because camels were familiar beasts of burden in their time. You must answer my question... Then how do you know that they didn't stick in chariots as well?
Your third problem Pi-Ramesses, is basically the same. How do you know that the redactors didn't use a place name that was familiar to them over place names that weren't?
Your wrong about, Egyptians having no name for elected leaders, by the way Israelite Judges were not elected they were chosen by God. The term Judge was an ancient Egyptian term, so the Egyptians would have had little trouble in calling the "Prince" Judge if he had been a Judge. But the Egyptians called him a Prince and included him along with the other and "real" Princes of the area, therefore it is most likely that he was real prince therefore putting the dating of the Israelites at the time of Merenptah into the Monarchy period.
Espeically when real and plain archaeology can successfully place the children of Israel much farther back in time than Christian Chronology allows them to be placed.
You believe that the early 19th dynasty is the time of the Exodus. Dr. K.A. Kitchen believes the earliest it could have happened is sometime after the 13th year of Ramesses II. Before that Egypt has Ramesses I re-establishing Egyptian control over the Sinai, and his son Seti I, re-established control over southern Canaan. So, neither of these Pharaohs could apparently be the Pharaoh of Exodus. Ramesses II was busy waging war himself in Northern Syria until his 12 years.
It appears to me Si-Amun that while you are not a christian you insist on using christian chronology to date Biblical events against Egyptian history. All the while knowing that such events are not fesiable, logical, or realistic... however it helps you to minimize Biblical events and statments in favor of your own. As a non christian you should not care whether or not Biblical events happened or not, but that simply the truth be found, as i do. If i am wrong on this please accept my apology.