Batting out of Order (w/ balk) [OBR]

[Altor]

Originally Posted by bob jenkins

Maybe you should ask the author as opposed to having us speculate as to his / her reasoning.

Please do, because AFAICT it's a mixture of the two possible rulings (and I don't claim to know which one would be correct).
(In these rulings I'm calling them R1, B2 is the proper batter, BR is the improper batter who hit the double)

Ruling 1: Enforce the balk first and the BOO second.
a. Balk: Since every runner advanced at least one base, the balk is ignored.
b. BOO: BR removed from 2nd. R1 returns to first. B2 is out. B3 is the new proper batter.

Ruling 2: Enforce the BOO first and the balk second.
a. BOO: BR removed from 2nd. R1 returns to first. B2 is out.
b. Balk: Since not every runner advanced at least one base: nullify the play, R1 awarded 2nd, B2 is not out and is still the proper batter. Play resumes with the previous count on whomever the offense sends to the plate.

I can't see scoring a run in either situation. And if the blogger is enforcing the balk and not awarding an out for the BOO, why is R1 returned to first and not awarded 2nd?