North. All directions from the South Pole start out as nominally north. But the magnetic poles, north and south, are not in the same spot as the geographic poles.
You would be heading Northwestern.
Departing Texas you would travel north to reach South Dakota.
Departing South Dakota you would travel southeast to reach North Carolina.
North
South.
west
west
The most logical direction is to travel west.
You will be traveling South West!
North
northeast