unfortunately the papers dont give a date for moses and the exodus nor the name of a pharaoh but it gives a couple clues. first is that moses came after akhenaten who died in 1336bc (the el shaddai concept moses was raised under evolved from akhenaten's teachings and others). second clue is that the exodus happened when the pharaoh was "resisting the simultaneous onslaughts of a strong Libyan thrust from the south and a Greek naval invasion from the north."
now there's two pharaohs in egyptian history noted as having to fight both Libya and the "sea peoples"...merneptah 1213-1203bc and ramses iii 1186–1155 bc. its never been clear to anyone who exactly the sea peoples in egyptian records were but i believe merneptah was fighting the greeks by sea and ramses iii was fighting the barbarian hordes from turkistan mountains that overran the whole levant during the bronze age collapse.
so by my timeline the exodus happened during year 5 of merneptah's reign in 1208bc...wandering in the desert for 25 years i guess the papers say? so arrival in canaan/palestine around 1183bc. egyptian influence in that area ended with the battle of djahy in 1178bc so we're looking at maybe 5 years there under waning egyptian "rule". remember also that it was city states in that area that egyptian conquered and made vassals and not little villages in the mountains where it's believed the people of the exodus first settled. btw i believe that merneptah's stele telling of conquest in canaan prior to year 5 stating ""Israel has been wiped out...its seed is no more." refers to the group of semite followers of the melchizedek teachings that lived in that area at that time, and not to the bedouins of the exodus who were to soon join them and become the "jews".
EDIT: ok i found one of the "sea peoples" merneptah fought concurrent with libya (but ramses iii didnt) was "ekwesh" which hittite sources and the historian homer point to as being greece (mycenae), which would fit the papers timeline the way i've constructed it anyway lol
source linkoh i'll add one other thing. the papers say that the pharaoh had agreed to let moses & co. go if they agreed to not attack egyptians anywhere but then he changed his mind about letting them go. a year later they left but its possible that an informal truce between them remained and as long as they didnt attack the egyptians they didnt feel they had to fear them? maybe...maybe not...no matter