Sounds like you need to switch to a Panasonic or Sony system, 'cause those can do everything you ask for. (Though the Panasonics will need 'speedbooster' adapters.)
STM lenses don't have both wider apertures and IS. It's one or the other. As a general rule, very few non-STM lenses have both wide apertures and IS, too. The good news is that STM doesn't make much of a difference—it can be slightly smoother, but it's also slightly noisier and when it does go wrong it ends up being jerkier than the more consistent USM focusing—so you can just focus on the few prime lenses with IS and wide apertures. Those are the 35mm f/2 IS, 24mm and 28mm f/2.8 IS, 85mm f/1.4 IS, 100mm f/2.8 IS, and 200mm f/2 IS.
The 24-105 STM is certainly quieter than most, and at the longer end you'll get enough perspective compression that the aperture won't really matter, if the look of the image is all you're going for. If you need wide apertures for actual light gathering, then you're out of luck really. And, while it is indeed "quieter", it's not silent, and especially if you need to rack focus through its full range, the built-in camera mic will hear it.
A small shotgun mic in the camera's hotshoe can mitigate noise made by any lens, weighs very little, and shouldn't get in the way. If video without an entirely separate audio recorder is important to you, look into adding a small shotgun mic. If video is really important to you then you owe it to yourself and your viewers to get a separate audio recording solution, because nothing in the SLR world is entirely silent. Again, other camera systems may suit you better, given your requirements.
