Have you seen the heat argument?

In short, the Young Earth Creationist position is that all the plate tectonics and radiological dating issues happened because of the flood. This means the plates would have to have moved very fast, and the resulting friction creates heat. Incredible amounts of heat. Likewise, radioactive decay releases heat, too. To do all the changes necessary to do that in the space of about a year it would generate enough heat to turn the entire planet into a plasma.

This may actually be "checkmate, YEC!", at least in a sense. Not because they'll change their mind about God or anything, but because they prefer to have physical solutions if possible. It's easier to convince other people if you keep reliance on the supernatural to a minimum. But there's just no way around this one. You have to rely on the supernatural to fix it. There's just too much heat, otherwise.