I only mention that to help imagine what could be found and what may not be found. A large crowd leaving Egypt traveling by caravan carries everything they need initially. But they will ditch extra weight in Egypt not Israel, the Pharoah is chasing, after a few months on the peninsula most if not all the earthenware pottery has been replaced by locally produced ware, etc.
If someone asked me why the archaeologists don’t find egyptian ware in Israel in that period I would ask them if they would cook their own stew in the same earthenware pot their granny used to eat from. The only trace camels leave is their footprints. It doesn’t sound like they stopped to build a city anywhere, they were travelling. They need food, cloth and pottery constantly throughout 40 years, this means trading with local villages and towns for local ware. If it was me looking around after 3,000 years I would not hold out too much hope of finding much. Perhaps search through middens near any ancient villages/towns up to 500-1000 miles from the proposed Red Sea crossing place for egyptian ware inscribed with hebrew, but thats a long shot I think. Nomads tend to blend in unless they build something or occupy a town for a very long period.