I recommend you live with it. Even if you get it all off, it will be right back on those spots the next time you shoot. I clean my handguns each time I shoot them, but I have also learned to live with S&W design features. Such as one you didn't mention: the ring around the cylinder that appears after you fire the revolver a hundred times, and then stops growing. That is caused by the cylinder stop dragging on the face of the cylinder. S&W planned it that way to make sure the cylinder stop did its job.
I have a 637 which I have fired around 2,000 times with no problems. In fact, I fired 50 rounds of 148gr DEWC from it today. I'm so mellow, I'm thinking of letting it sit, all gunked up, until tomorrow. After I finish playing golf.
Cordially, Jack