The "White Lightning" vent liners all use the 32 thread pitch.
In the 1/4, 5/16 and 3/8 size threads this 32 thread per inch pitch is a UNEF (Unified Extra Fine) thread that while not common does have standard taps available for it.
The easiest way to get a tap for it is to buy one from TOTW or Chambers.
As for the size of the liner, a 1/4" or a 5/16 inch can work because a 7/8" octagon has .362" wide flats.
If it were me, I would opt for the 1/4" size for several reasons.
First, the smaller size will allow for the liners vertical position to be moved to better align the vent with the top surface of the lock without getting too close to the edge of the side flat.
Second, the smaller size is less likely to interfere with the face of the breech plug when it is positioned at the center of the pan.