Cleaning brass...
Bexar--Can't give you a comparison because I have never used or considered a rotary tumbler. I use a vibrator, a Berry's, and with it running on my workbench in the basement, it can be heard (If you listen for it) as a sort of hum, upstairs. Even right next to the tumbler when it's working, I couldn't describe it as loud or noisy. Some vibratory brass cleaners are louder than others I understand, even though they are all built pretty much the same.
BTW, what brand IS yours??
The outside of the brass is all I'm concerned with--I think that is true with most reloaders. The inside of the case stays rather dirty no matter what you do, IMX, except with a very short, wide case like a .45acp--Those clean out fairly well. (And who cares--The small amount of burnt powder residue left inside has no effect on the next firing of the case. Exception being blackpowder cases, but the guys who shoot those, actually wash the residue out.) As to the primer pockets: If you deprime before cleaning, the primer pocket often just gets filled up with jammed medium, so most reloaders deprime afterwards. If you want clean primer pockets you clean 'em by hand after depriming/sizing.
Suggestion for noise reduction--Place your tumbler on a concrete floor, sitting on a piece of carpet or some such material. That would deaden a lot of the racket you report, I think. Throw a couple blankets over it to further shut it up, if needed--but be careful that the vent holes for the motor are not tightly covered--The motor needs a little air circulation for cooling.
A rotary tumbler would be very quiet; the results you'd get would probably be about the same I expect. Someone who uses a tumbler will be along to tell us. Those usually use a wet polishing/cleaning medium I believe.