I appreciate Jon’s apologetic response above. For a complementary take, the approach in this chapter by Carol Redmount may be helpful or worth considering, though some will certainly find it too far left for their tastes: http://bit.ly/1Ppx40V (missing pages available by Interlibrary Loan 
). Redmount likens Exodus to a docu-drama based on a core that is historically true.
Personally I struggle with other elements of the Exodus narrative, like why Biblical Hebrew isn’t chock-full of Egyptian loan words, if indeed they started out their time in Egypt as a small family of immigrants and grew into the millions (all the while living as an under-caste to Egyptian masters) before returning to Canaan.
At any rate, brother, may God bless your searching and struggling and seeking Him.