I went the other way and use an ultrasonic cleaner for all my cleaning. Gave away the tumbler.
For rifle brass I decap first then clean the dirty brass in a solution of 4:1 water to vinegar with a dash of liquid laundry detergent added. It does a great job of cleaning inside and out and the primer pockets come out sparkly. All of this from a 4 to 5 minute cleaning cycle.
The pot in my cleaner is small so I can only do two handfuls of brass at a time but the cycle time is so short that I've got literally hundreds or thousands of clean cases drying by the end of an hour depending on the case sizes.