To answer the question...
You can read above the disparity in opinion about break-in, and I've nothing to add about that here. Assuming you want to do it...
No, the Bore Snake will not do it. A carbon/copper cleaner is advisable, and I'd simply use Hoppe's #9 Bore Solvent.
Apply it to the bore and give it a few minutes to work. Patch it back out and examine the first patch for blue or green tint indicating that copper got removed. As long as there's definite color, continue to clean after each shot, but don't go beyond ten shots/ cycles. Understand that brass/bronze implements in contact with the wet patch will invalidate any color indications. Clean after each of the next two sets of five shots, then live with it after that. The balance is between getting the initial throat wear accomplished, and stopping before overall bore life gets impacted. Understand that leaving some copper in the bore can be beneficial, and that strenuous cleaning is probably worse than no cleaning.
What I'm saying is that a box of 20rd is enough. More than that is probably doing the dubious; and this is coming from a formerly heavily committed fan of bore break-in.
IMHO, you could skip the whole process, and the Sun would still continue to rise in the East just fine.
Greg
Post crossed. Articulating. I seriously doubt that the passage of a copper projectile through a steel bore is going to make any significant change in the interior surface. Likewise, forget about the brush being an abrasive agent; the barrel just laughs at it. It's true value is in its ability to get the solvent down into the groove and a nylon brush does this equally well; the grand majority of the cleaning work is done by the solvent and time, after which the brush sweeps out whatever got loosened. Rinse the brush each time it comes back out; I use rubbing alcohol.
The two (maybe more) active wear agents would be hot gasses in the bore throat and abrasive components in the powder residues. These two agents can combine with the passing copper projectile to perform some lapping in the throat area, and to a smaller degree, on the bore surface. The bullet is just a somewhat more sophisticated version of the lead lapping slug. Some of the former wear is desirable, and the second is probably a barely nominal benefit. It's my opinion that this is all something that will simply happen anyway during normal usage and cleaning, just slower without the deliberate effort. Cleaning should take place when an undeniable degradation of accuracy becomes obvious, as well as when putting the firearm away and taking it back out of longer term storage storage. IMHO, any process that 'wastes' round count in a bore should be avoided.
I also believe that the first 50 or 100rd through a new barrel should be dedicated toward fire forming the handloading brass; and that it's better to get that hundred or so rounds fired before beginning serious load development. If interior bore conditions are indeed altering during the initial usage, saving the load development until a respectable number of rounds worth will probably better validate the load development process.
My use of the term "probably" is deliberate. All barrels are unique, and the difference is not just between match and factory barrels. Rather than going into the hows and whys, I'll simply say that when you spend more on a barrel, it's worth it.