I'm currently a practicing Christian, and yes, I believe the flood story. I do however believe there has to be some wiggle room though. Perhaps the flood was more localized. From what I can see, most sources date the flood to about 1600 years after creation. By that point, humanity wouldn't have spread very far. So the "whole world" wouldn't actually encompass a huge portion of the planet. The Bible can't always be taken strictly literally in some places. If you read Genesis, just through Adam, Eve, Cain, and Abel, there should be all of four people in the world. Yet in Genesis 4:17, all of a sudden, Cain has a wife. Literally no mention of other people until 4:17 and Cain's wife...where did she come from? Genesis 5:4 does go on to say Adam and Eve had many sons and daughters. So yes, their relationship and Noah's children's would have been incestuous. My personal view is that the Bible is intended for all audiences, from small tribes isolated for millennia from the developments of the world, to the smartest people in our modern, connected civilizations. As someone closer to (though not in 😝) the latter category than the former, yes, I understand and believe the science, but I also believe the Bible.
I know this isn't a religious discussion but maybe one more example just to share my personal viewpoint. I believe the story of Creation, but I also believe in the scientific theory of the big bang and of evolution of life. How? Because again, to someone disconnected from the world, they have no concept of cosmology or string theory or protons, neutrons, electrons and how else can you illustrate God's greatness than by creation of everything in 7 days, days being a concept everyone is familiar with. So to me, the big bang is merely the way that God spoke the universe into existence. Then if you're familiar with cosmological development, the earliest universe was too dense and hot for light to exist. But as it expanded and cooled, it could, and so as in Genesis 1:4, there was now separation between light and dark. Then Genesis 1:6 as “Let there be an expanse in the midst of the waters, and let it separate the waters from the waters.” could be analogous to the coalescence of matter in the universe into stars and planets rather than being spread uniformly throughout the universe. So to me, the big bang, cosmology, evolution, are just God's tools. Maybe you think that's a cop-out answer. That's fine if you think that way, but it is my sincere answer.
I'll stop here. I'm just trying to answer circumvent's question being as I'm the intended audience of that question. I just wanted to provide more than "yes I do." If you wish to talk further, feel free to message me, I'll talk if you're open, but I do try not to push myself on others.