Are these remains global? Just because there's a lot of dead animlas does not equal a great flood. There are plenty of other natural disasters that can do this, like disease, famine and the like. Stones don't need ocean waves to become smooth either, regular environmental phenomena like wind and rain will do the same thing. Plus, are those stones found in now ancient river beds?
But, thats not to say that a very small, local flood happened. If you think about it, people of the middle east hardly ventured far from their homes and regions. Their homeland, tribe and home WAS there world know to them at the time. Now, lets say a large flood, not a global one, that flooded their entire region. Due to the very limited understanding of the world around them, it is not hard to venture a guess that they would have thought that the entire world was flooded, given that they didn't really venture far from their homes and only saw water as far as the eye could see. This probably sparked the great flood myth. In fact, a lot for people theorize that Judaism and Christianity take their great flood myth from the epic of Gilgamesh, which came from Babylonia (Modern day Iraq) a very culturally influential region on all of their neighbors at the time. It isn't very hard to see that various tribes took this mythical creation story and modified it for their own culture due to cultural diffusion in their region.
Also, archaeological evidence of ancient Chinese civilization doesn't match up with the flood time line. The earliest Chinese artifacts and structures have been traced back to 8000 years ago, and even some estimate it could be 10,000 years ago with new archaeological discoveries. The Chinese people are some of the oldest people's and civilizations ever, and yet they didn't die in a global flood that the bible said killed everyone save the ones on the boat. Hmmmmmmmm....
Here's a nice resources:
flood_predictions
It will answer most of your questions about the flood myth.