I also find it important to note that the oldest reference to the Tetragrammaton, occurs amongst the Shasu of YHW in the Sinai peninsula in Egyptian sources of the 14th century BC.
The question of who the Shasu are is unsettled. The best evidence is probably against them being Israelites. Could they be Midianites?
"Some scholars have suggested that 'Midian' does not refer to geographic places or a specific tribe,
[3][4] but to a confederation or 'league' of tribes brought together as a collective for worship purposes.
Paul Haupt first made this suggestion in 1909,
[5] describing Midian as a 'cultic collective' (
Kultgenossenschaft) or an '
amphictyony', meaning 'an association (
Bund) of different tribes in the vicinity of a sanctuary'.
Elath, on the northern tip of the
Gulf of Aqaba was suggested as the location of the first shrine, with a second sanctuary located at
Kadesh. Later writers have questioned the identified sanctuary locations but supported the thesis of a Midianite league."
Midian - Wikipedia
I've always learned that the Midianites lived east of the Aqaba Gulf but when I read the Bible I encounter Jethro at Mount Sinai, at Moab in the incident of Baal of Peor, and attacking land of Job and Gideon where they're identified at Ishmaelites.
I can't say for sure, but I would be more inclined toward the traditional site myself.
This is rather strong evidence. But I don't see a good reason for the fleeing Israelites to take a difficult southern route after the Egyptian army drowned. The usual routes across Sinai were in the north or in the middle. I can understand them avoiding the northern route. But the middle route seems like a good possibility. There are new theories for Mount Sinai being along the middle route either west or east of the Sinai.