While I was not there and I am not a Biblical archeologist, there are two reasons why I reject the traditional sites for both the red sea crossing and mount sinai. First, there are alot of things the popular evangelical church today gets wrong. They promote that Jesus was white or European. Yet, he was Jewish. The popular evangelical church today ignores God's righteousness or common basic morals. They also believe in the Sethite view (Which is the popular view taught in Bible colleges); And the list goes on and on. So it makes sense that they get yet another thing concerning God's truth wrong.
You are absolutely right.
Second, your view is not simple and easy to see. It seems overly scholarly versus just basic evidences that you can tell a simple guy whereby he will get it. Coral in the shape chariot wheels, a rise in sea level off a beach like area so as to cross and it is appx. 35 miles to Jebel al Lawz. Jebel al lawz has tons of evidence that makes it obvious it is mt. Sinai. A burned top of the mountain that was not from volcanic activity. No other mountain was burned in this way. The split rocks has been found nearby. Elijah's cave. It is also in parallel with the longitude of Jerusalem. Which was a point Paul was trying to make in Galatians. So unless you can dumb it down so as to make your evidence a little more simple for us basic common folks, I have no real reason to consider it. For I already have good reasons for believing the sites that I do. For me, they are the type evidences to bring someone who has been seeking the truth about God.
The presence of the chariot wheels and horse's hooves are not evidence. They are simply objects of interest. These are not proven to be of Egyptian make and the may be any number or reasons these thing are at the bottom of the sea at that location. For one, this was the territory of the Amalekites so these could be Amalekite relics or they could also be Egyptian remains that were lost n battle with the Amalekites. There are a number of possibilities.
A burned mountain top and a dived rock formation can also have any number of possible explanations that have nothing to with the exodus. So on and so on. The fact is the these sites simply do not agree with the rout given in the biblical text. One cannot begin with physical evidences and attempt to force them onto scripture to confirm a speculation. One MUST ALWAYS begin with the biblical text and measure the 'evidences' against the text. You made the statement earlier that "If you believe these sites disagree with the Biblical account, then what verses do you think refutes such locations?" I have a great deal more to offer from scripture on this if you are interested in pursuing the matter.