Avoid using acids on brass. It eats the copper molecules but not the zinc and turns them black if left for too long. A long alkali rinse helps to neutralize the action but the damage is done and the cases weakened.

Tumbler or ultrasonic is a matter of choice. I prefer tumbled for four hours including a while with metal polish added.

Seems you're into old style shooting HaresEar, BP catridges, 130 yo m/l. I wonder whether the m/l is smooth bore or rifled.