The flooding that occurred during the end of the last Ice age was a lot more than just a local flood, it was global and involved massive streams of water flowing of the ice shelves, and a massive rise in sea level presumably flooding 90% of earths inhabitants that would have lived near the old ice age sea level.
There were catastrophic floods associated with the Ice Age, but they were not associated with the Middle East where Noah would have lived. The 'scablands' of Western USA is an example of glacial catastrophic flooding due to the collapse of a glacial ice lake. The flooding that occurred in the Black Sea is related rising sea levels and flooding the area around the sea, but it was not catastrophic.
The archaeological and geologic evidence indicates that the Biblical flood was one or more catastrophic floods of the Tigris and Euphrates river valley.
An interesting side note to the mythical scenario of Genesis Creation and Noah's flood is that the lower Tigris Euphrates Valley, now covered by water, was an ideal agricultural paradise, and rainfall was higher all across the Middle East and Northern Africa, until the melt of the glaciers flooded these delta regions. This fact resulted in a Prairie environment with lakes where ancient Neolithic humans enjoyed an abundant paradise. As rainfall dropped this paradise ended, and humans were forced to migrate to the river valleys like the Nile and Tigris Euphrates valley. This was indeed a lost paradise scenario that could have been projected into the Genesis narrative. We owe the development of agriculture and civilization in part to this migration into river valleys, and of course the common narrative myths of great floods that grew around the events in these valleys.