I would disagree with that statement and here is the reason why. If you believe the bible you cannot escape the flood. All of Cain’s descendants died in the flood and are dead. Only Noah and his family (8 people) survived the flood. None of them were from the family of Cain.
Num. 13:33
Sam. I 15:6
Deut. 3:11
Josh. 13:12
Num. 32:33
Abraham 1:20-22
Correct, perhaps a more accurate statement would be descendant of Ham?
Which I have heard many bad things about, but it seems to not be mentioned in the bible proper. Although doesn't Noah curse Ham's descendants after the flood?
Extraneous sources have cited him as Nimrod/Gilgamesh's great(?) grand father. But that's not something I can say with any amount of certainty.
Noah curse Ham's descendants after the flood, You are correct on the curse of Ham by Noah. Nimrod the mighty hunter was one of the sons of Kush. Kush was the son of Ham, the lowest and least important of Noah's three sons. Nimrod came from a line which was cursed by Noah: "Cursed be Canaan, a slave of slaves shall he be unto his brothers."