Where I ended up.... after reading all the different techniques of bronze brushing advice that is given as the only way to avoid damage.
I just turned to the iosso blue stiff synthetic brush. I have no problem short stroking/altering direction while in the bore. At the muzzle, I mostly try not to let the brush all the way out of the muzzle. This allows me to get most of the carbon out with keeping up on cleaning. At least, it gets me to where I am comfortable with how clean the bore is. And maintains the 1/2 moa accuracy that I want. Mine are sporting rifles after all. If I get too much carbon for my liking (using a borescope to inspect) I will JB/Iosso paste on a patch. But if it comes to that, it just means I was lazy at keeping it clean.
When I build my first dedicated bench rifle, who knows, I'll probably do something different. But not until the bore cleaning method impacts my target results. I have so much more to work on improving until that happens.
To answer the original question. On my sporting rifles, I asked for a 'hunting crown' from douglas barrels. Figured they would know what the best is for that application. What I received was this:
View attachment 1500474
Doesn't look perfect, but it gets me to 1/2 moa and that's all that matters.