@SandyRoe
//Whether river deep or mountain high isn't the issue.//
It is *entirely* the issue, Sandy! Look at the thread title.
Your eco-message is very laudable, much the sort of thing I'd say myself (if that was the topic, which it is not) but a complete and utter evasion of what I posted about high peaks in the Levant. (Ararat is in Eastern Turkey, making the starting point and direction/duration of drift a matter for speculative discussion, later).
Nobody has mentioned the Bosporous breach theory but it is highly conjectural. Supposed drowned habitations on the bed of the Black Sea are supposed to have been found and filmed but I've not seen these first hand and cannot judge, for myself.
Mainstream science already accepts that the oceans rose by as much as 400m, quite abruptly (less than a century, appreciable in a human lifespan) as the last glaciation melted away, so it is feasible that the Mediterranean overtoppe, or eroded its way through a blockage, flooding the Black Sea basin in a catastrophic manner.
This could be as much as 10,000 years ago; far enough back to spawn many flood stories, as in Gilgamesh. It would have been remiss of the Bible compilers to leave it out because it is held as a demonstration of god's power and his will to destroy the sinful, in huge numbers. The forgiveness of Jesus holds little weight unless it is set in stark contrast with the unforgiving, mass-killer god, of old.