[Adam]

Okay, I've dragged this on long enough. You're very close. I'm going to change the OP slightly.
First half, shooting foul called on B1, putting A1 at the line for two shots. It's B1's third, so coach sends a sub to the table. After the first shot, B6 comes in for B1. After B1 gets to the bench, A1 turns and taunts him. Official calls a T.

A) Coach wants to sub B1 back in to shoot the free throws for the T, since he's the best shooter. He then wants to take him out before the throw-in in order to prevent the fourth foul. Is this allowed?

B) Coach wants to put B7 in to shoot the free throws for the T, since he's the best shooter. He then wants to take him out before the throw-in because he's not really that great a player other than shooting free throws. Is this allowed?