Not a Lakers fan, but even less of a fan of Hack-a-Dwight type basketball.
How about, in addition to a team bonus, there could be a personal bonus. If any player personally draws beyond x personal fouls, that player would get to take best 2 of 3 free throw shots. (i.e. if they hit the first two free throws, they turn the ball over, but if they miss either of the first two, they get a third shot).