My model has the sea floor rising uniformly over a vast area, not flattening out as you suggest. The flood story suggests a gradual flood, thus a gradual rise in the sea floor. I suggest viewing some incoming tide video's on u-tube. They provide a good picture of how the flood came in.
Then your model is physically impossible.
One, For the sea floor to rise uniformly without flattening out would mean that all the continents would rise right along with them and there would be no flood.
The sea floors aren't separate from the continents, they are part of them. Look at the below picture, it is a diagram of how the continental plates fit together.
For the Atlantic sea floor to "rise up" as you claim, the North American Plate, The Eurasian Plate, The African Plate, and the South American Plate would all have to rise up. Ignoring for the moment that physically this isn't possible, as they rose up, North America, South America, Europe, Asia, and Africa would "rise up" right along with them and there would be no flood.
Two, the Bible does not describe a gentle flood. You have to ignore everything the Bible says about the flood to come to that conclusion. That's why I keep saying you are ignoring both science and the Bible when it comes to your flood model. It fits neither the evidence we have nor the descriptions of the event.
Could you please answer my question about why the flood has to be global. Since you have already acknowledged that for your model to be possible, we have to take some of the language of Genesis 7 and 8 as "poetic license," why can the flood being a global event not be taken as poetic license as well?
My model doesn't have the water distributed evenly over the earth. The sea floors would rise enough to cover those mountains with water. The sinking of the continents would help in this. A study of glacial rebound reveals how flexible the earth's crust actually is.
The continents would not sink as you are proposing. They are attached to the sea floor that you have rising up. They have to be flooded before they can start to sink. There is no way for them to sink, nor would there be any reason for them to. They would not be flooded by any water.