The Ten Commandments : I currently date the Exodus to 1606, 1646 or 1656 BC

So that fits a 13th Dynasty Exodus even in conventional chronology.

Lots of different opinions on that.

http://www.bible.ca/archeology/bible-archeology-exodus-date-1440bc.htm


And the plagues may not have happened at the same time as the exodus, indicating a dramatic, yet later, melding of the two stories.

http://www.theweeklyconstitutional.com/news/we-cant-explain-it/458-scientist-prove-the-ten-plagues-of-egypt-really-did-happen

What is the evidence for your hypothesis?