Are you trying to kill off the current cultures? If so, why do you want to do that?
For our club sour barrel, we rinse with chlorine-free water to get rid of some of the yeast cake that's collected at the bottom of the barrel. No need to pitch new cultures as the residual cultures will sour the next batch.
P.S. Brew your next batch now. Pull the current batch from the barrel when the new one is done with primary. That way you can drain and refill the barrel the same day.