And you are quite wrong about absence of evidence. If evidence is expected by an event, and over two million people traipsing through the desert for forty years would definitely leave evidence. The absence of such evidence is evidence against the event.
How's that? It was over 3,000 years ago! They didn't build structures. They were given Laws on cleanliness, so they didn't leave trash. They were constantly moving.
Too bad there is a ban on excavating the Red Sea, where those chariot wheels are. Neither Egypt nor Saudi Arabia allows it. (How convenient for you skeptics!)
But, near Nuweiba, there have been some evidence to surface in the form of pictures. Unfortunately, it's apparently illegal.