Steefen said
It is possible that a strong wind can part a body of water.

If the Lake of Tanis (Northeastern Delta) experienced a wind setdown, that would be how the Re(e)d Sea was parted.

Likely, when the British were in the Egyptian Delta in 1882, a British officer reported that a strong gale blew all night,

and the nearby Lake Menzaleh had disappeared–its waters blown beyond the horizon. The Battle of Tel El Kebir was fought between the Egyptian army and the British military near Tell El Kebir. After discontented Egyptian officers rebelled in 1882, the United Kingdom reacted to protect its interests in the country, and in particular the Suez Canal. (Wikipedia, “Battle of Tell El Kebir)

Lake Manzala, also Manzaleh, is a brackish lake (mixture of river water and seawater), sometimes called a lagoon, in northeastern Egypt on the Nile Delta near Port Said and a few miles from the ancient ruins at Tanis. It is the largest of the northern deltaic lakes of Egypt] As of 2008 it is 47 km long and 30 km wide.

Lake Manzala is long but shallow; so, a post-parting inundation height would not put horses and chariots sinking underwater ala Cecil B. DeMille.

= = =

Awright-awright-awright: here you have it:

PLOS | One, A Peer-Reviewed, Open Access Journal, 2010 Aug. 30., “Dynamics of Wind Setdown at Suez and the Eastern Nile Delta” by Carl Drews and Weiqing Han.

** you do not have permission to see this link **

Wind setdown is the drop in water level caused by wind stress acting on the surface of a body of water for an extended period of time. As the wind blows, water recedes from the upwind shore and exposes terrain that was formerly underwater.

Wind setdown occurs in shallow coastal areas when strong winds blow offshore. When wind stress acts for several hours on a body of water, the free water surface acquires a low-angle tilt. This tilt causes the water on the upwind side to recede from the original shoreline, leaving exposed mud flats on the bottom. Wind setdown is opposite to storm surge and comparable in vertical displacement, although wind setdown is less well known because it usually poses no danger to lives and property. Wind setdown events on the order of 2 m were recorded by measuring stations at the western end of Lake Erie on December 1–2, 2006, and January 30–31, 2008.

Scientific literature from the 19th century contains a description of a wind setdown event that occurred in the eastern Nile delta. Major-General Alexander B. Tulloch of the British Army reported this event happening on Lake Manzala in January or February 1882:

One day, when so employed [surveying] between Port Said and Kantarah, a gale of wind from the eastward set in and became so strong that I had to cease work. Next morning on going out I found that Lake Menzaleh, which is situated on the west side of the [Suez] Canal, had totally disappeared, the effect of the high wind on the shallow water having actually driven it away beyond the horizon, and the natives were walking about on the mud where the day before the fishing-boats, now aground, had been floating. When noticing this extraordinary dynamical effect of wind on shallow water, it suddenly flashed across my mind that I was witnessing a similar event to what had taken place between three and four thousand years ago, at the time of the passage of the so-called Red Sea by the Israelites.

…

Mr. M. Rooke: I should like to ask the present depth of Lake Menzahleh [sic] near Port Said?

Tulloch: It is only about 5 feet or 6 feet.

Rooke: Where was the water driven to?

Tulloch: It was “packed up” to the north-west.

Rooke: Could you see it in any way?

Tulloch: It was seven miles off. It had absolutely disappeared.

[5] Tulloch AB. Passage of the Red Sea by the Israelites. Journal of the Transactions of the Victoria Institute (now Faith and Thought) 1896;28:267–280.

  

One scholar (Professor Tofteen, 1909) suggested that the site of the Red Sea crossing might be the the El Qantara Isthmus, a land bridge separating Lake Menzallah from Lake Ballah, the later being an overflow lake, getting its water from Lake Menzalleh. Today this land bridge is covered over by the Suez Canal embankment since circa 1859. Pre-Suez canal maps (1840’s) show that this land bridge was subject on occasion to being inundated by High Niles, the Nile being the main source of water for Lake Menzalleh. To the south of Birket Ballah is another, smaller, overflow lake, Birket Marash, just north of present day Ismaila. 

The Austrian Egyptologist (2000), Manfred Bietak, has a map showing that the ancient Egyptian Way of Horus ( the Bible’s Way to the land of the Philistines), from the eastern Delta and ending at Gaza, passes over this land bridge. Chariots could cross or ford this area when the Nile was low, with only 2 ft. of water. But High Niles of 6/8 feet would make such a ford unlikely and dangerous. If Israel crossed here, the Reed Sea on her left hand would be Lake Menzalleh while the Reed Sea on Israel’s right hand would be Birket/Lake Ballah. Both Menzalleh and Ballah have reeds from Nile seedlings being annually deposited by a high level flooding Nile.