Vibratory tumblers are LOUD and I share walls with other people.
Wash machines are pretty loud as well.
There are some vibrating tumblers that are quieter than others. My Dillon tumbler is not as loud as my Berry Mfg tumbler. Also, keep the tumbler full of media (don't over fill, though) and run few cases.
Wet tumbling with stainless pins is not as loud as a vibrating tumbler plus, it cleans in a hour or less.
There are case dryers available, most seem to be based on food dehydrators. They are about the size of a small toaster oven. Wash your cases and put them in the dryer. It blows warmed air over the cases to aid in drying. Lots of cases in a small countertop area.
When I wet clean my cases, I do not scrimp on the drying time just to make sure there is no water left in the case. I have enough cases on hand so that my reloading-to-shooting is not "hand to mouth". When I laid them out on a towel to dry, I'd leave the cases for several days and stir them periodically so that any water inside the case would get disturbed and redistributed in the case so that it could evaporate more easily.
Another issue is the residue the vibration cleaner leaves all over the cases that gets all over my hands when loading.
There is something wrong here. I might get some of the dust from the vibrating media on my hands when separating the cases from the media, but not when I'm reloading them. It washes right off
I use a rotary basket for separating the media from the cases, it seems to knock most of the dust away.
I avoid using polish in the media until the media starts to get old and stops cleaning as well. Too much polish can make the media get slimy.
Get a box of rubber/latex gloves to wear to protect your hands from the media.