The only really effective method of cleaning a revolver forcing cone is the Lewis Lead Remover.
All the older revolver shooters owned one and used them often.

The Lewis should be used even if all you shoot are jacketed bullets, since the Lewis also cuts the copper fouling off.
Of the S&W Model 19 revolvers that had forcing cone cracks, most had badly fouled cones.
The Lewis will prevent the build up.

Before altering a gun, the smart move is to eliminate other possibilities like a fouled cone.
The Lewis kit is cheap insurance and cleans a critical part of the revolver that nothing else can get to as well or as fast.

Note the video link on the page that shows how to use the kit:

LEWIS LEAD REMOVER - Brownells