One way to find out which sea is intended by Yam Suph, "the Red Sea", is to look at its use in the Old Testament itself. Most of the references are simply references to the event described in the book of Exodus. But one is found in 1 Kings 9:26-28:-
"And King Solomon made a navy of ships in Ezion-geber, which is beside Eloth, on the shore of the Red Sea, in the land of Edom. And Hiram [King of Tyre] sent in the navy his servants, shipmen that had knowledge of the sea, with the servants of Solomon. And they came to Ophir, and they fetched from thence gold, four hundred and twenty talents, and brought it to King Solomon."
What is being referred to here as "the Red Sea" is clearly what is known today as the Gulf of Eilat otherwise called the Gulf of Aqaba which is the Eastern gulf at the north of the Red Sea. In that the Exodus involved crossing "the Red Sea" it is clear that it was known that what was crossed was part of the same waters as the waters at today's Eilat where Solomon built his fleet.
The start of journey showing (correct location of) Succoth in Wadi Tumilat east of Pithom, except they turned east onto The King's Highway (which ends at Heliopolis)
(It is disappointing how many maps on the web have Succoth incorrectly positioned. For a discussion of the location of Succoth in relation to Pithom see "On the Reliability of the Old Testament" by Kenneth Kitchen pages 256-259.)
The Israelites travelled along the Way of Arabia, also called The King's Highway, just as Moses had done 40 years earlier
As they approached the Gulf of Aqaba they turned south and down the wadi towards Nuweiba
Off shore from the Nuweibaa Peninsula of the Gulf of Aqaba one probable Egyptian chariot wheel has been found on the sea floor. Other possible remains of chariots are covered in coral. So far it has not been possible to confirm these coral shapes cover manmade objects.
Perhaps one wheel at top and one on sea bed joined by the axel (which is vertical), covered in coral.
Remains of chariot wheel made of electrum (gold and silver mix) which the coral didn't want to grow on.
Another circular structure on the eastern coast of the gulf of aqaba opposite the Nuweibaa Penisula covered in coral.
The Gulf of Aqaba sea floor showing the "bridge" at Nuweiba
The argument it was the Gulf of Aqaba which was crossed and in which the army and chariots of Pharaoh were destroyed can be seen here: youtube "The Exodus Revealed: Searching for the Red Sea Crossing" - https://www.youtube.com/watch?v=yTnqRpXKcaQ