Desert of Wandering
The desert of the forty-year wandering was not the Sinai. Peninsula, but a much larger area. The inclination of the historians is generally to deny the ancients long itineraries; Midian being the Medina of Moslem times, actually deep in the Arabian Peninsula, all indications in the Old Testament are for a deep penetration of the Arab Peninsula by the wandering Israelites who escaped the land of Egypt destroyed by the catastrophe in the mid-fifteenth century before the present era.
There are autochthonous Arab traditions about the wandering tribes led by Mosaikaia, his brother Arnran, and his sister Zeripha. These traditions have not been borrowed from the Old Testament or rabbinical tradition. From the Bible and Midrashim, the Arabs culled much of the content of the Koran, but they did not realize that their traditions about Mosaikaia (and the catastrophe that took place in his time) are of independent origin, though referring to the same persons and events.
All together indicates that the Israelites under Moses did not spend forty years in the small triangular Sinai Peninsula, but in the western regions of Arabia.