Your cleaning method is fine ... they simply need to be mostly free of dirt , grit and grime . You are cleaning them ... so it's good .
Anything above and beyond what you are doing just makes them shine brighter ... some like "like new" brass cases but honestly it's just show .
a wash and wax job on your car doesn't make it run any better ...
simply cosmetic .
I've been doing this since 1967 and started cleaning cases just like you are doing ... since that time I've tried every cleaning method known to man , dry walnut shell , rotary tumbler with liquis , with pins with sand , kitty litter , rice ...tried em wet , tried em dry ... here is what I've discovered ... the easiest , fastest , least messy , least costly way is a nice big vibrating case polisher with Treated Walnut Shell Polishing medium ... like the media and machines sold by Midway USA .
If the cases are really dirt encrusted ... wash them off first before putting in polisher ... Tip buy a large unit , bigger is better , they need room to move around and #1 mistake is overcrowding . When cases are bright ...
you can scoop them out with large slotted spoon or dump contents into a sifter to seperate brass . They are ready to load .
I don't like any water method because seperating out the pins , filling , dumping and splashing water gets all over my bench and Drying ... now you have to buy a case dryer and get every drop of water totally removed before loading and water / pin cleaning leaves the brass subject to tarnishing ... if you want the brite case to stay brite now you have to treat each one ...
My advice ...Keep On Keepin On and save up enough money to buy a BIG vibrating case polisher along with Midway Treated Walnut Shell Polishing Media ( this stuff leaves a protectant on the case ...they stay bright )
Gary