Team does not get a "choice of the balk or the actual play that resulted". The balk is either enforced or it is not. If all runners, including Batter/Runner advance one base then the balk is NOT enforced and players a liable to be put out trying to advance further. If there is an out prior to all runners advancing their one base then the balk would be enforced and any play/out would not count. Example: Runner at 2nd balk called batter his ball to 3rd and tags the runner coming from 2nd. BR is safe at 1st. R2 goes to 3rd on the enforcement and BR comes back to plate. Same situation (R2). Balk called batter hits ball to outfield. R2 thrown out at the plate, BR safe at 1st. Balk is not enforced and the out stands.