The contention of the biblical account is the flood was caused by a cataclysmic event, Im not sure that the Ice age ended slowly and was not accelerated by some sort of cataclysm. If the event caused more of the ice to melt than present day, the sea level may have gone higher than today before returning to its present level. I'm not saying its a sure thing, but great flood events are in the creation stories of most cultures all over the known world, something happened otherwise the flood stories were all this great big made up coincidence, which is not very scientific.
I'll admit that ice melts quite slowly, as in glaciers, but snow melts much quicker, in fact flooding is a quite common occurrence when winter snow melts, much of the Ice Age climate would have consisted not just of glaciers, but of massive snow buildup.
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