Chains will move you..... Problem will be the direction.
Red clay (over here we call it GA clay) is very slick and if you have any sideways ground (and being in NC, you will) that front end is going downhill. May have to chain the front and engage the front axle. Another way we do it is to cut some ruts for the front end to follow. Lastly, a tractor, steering with the rear brakes, can pull the front end in the direction you want to go while the drive rears provide power. Truck driver and tractor driver really need to know what they are doing.
I have been in clay so slick that a person could not stand up on sideways ground!
Because of wet red clay, we would shut down the logging operations in November and go back to the yard to saw and stack lumber and do maintenance work on the equipment.
What are you going to do with the red oak?