There was no Adikam or Malul. Wikipedia has a nice list of pharoahs http://en.wikipedia.org/wiki/List_of_pharaohs , you could scavenge through to look for matches for your belief . There was a pharoah named Pepi II who ruled Egypt for 96 years, but he had no sons named Akidam, but that was over a thousand years before biblical historians (even the religious blog you linked) and academic historians say Moses and the Hebrews settled Israel around 1200 BC. We know from historical records (including the Armana Letters before) that the Canaanites were living Israel without Hebrew invaders or migrants to atleast 1300 BC.
The more realistic answer to the story of Moses comes from looking at other stories at that time. Bablyonian and other cultures had "Moses' stories of their own long before the Hebrews, and the Hebrews borrowed several other stories from Babylonians such as the Epic of Gilgamesh (Great Glood) and the Enuma Elish (Creation).
Moses' birth legend is in many respects similar to the 7th century BCE Neo-Assyrian version of the birth of the king Sargon of Akkad in the 24th century BCE who, being born of modest means, was set in the Euphrates river in a basket of bulrushes and discovered by a member of the Akkadian royalty who reared him as their own. Professor Eric H. Cline refers to the story of the birth of Moses as a 'foundation myth', similar to those of Sargon, Cyrus the Great and Romulus and Remus.
http://en.wikipedia.org/wiki/Moses
