Ric,
I talked to some of the top barrel makers a while back for an NRA article and the most logical advice I got for barrel break-in was to shoot singles till the number of patches needed to get to a clean barrel dropped. Depends on the barrel. Don't shoot two-shots or 3-shots and clean, you undid what your goal is by firing the second shot on a fouled barrel. I am doing that now and it works, also saves a lot of shooting and cleaning when you are have a good barrel. Seen some factory barrrels take a lot of patches tho.
As for chemical, I have switched to TM Solution, available from Sinclair or direct. Great stuff, gets right to both the carbon and copper from the first patch. Bottom line, there's lots of good cleaning solvents, just as important to develop a good procedure that works for you.
I do the following:
..soak four or five patches in TM and run through one at a time
..put five or six drops of TM on a proper fitting brush and brush 6-8 strokes
..clean the rod and brush thoroughly
..soak four or five patches in TM and run through one at a time, might need one or two more if the copper is bad
..repeat until no signs of copper - some barrels take lots more patches, some are done very quickly
..if the rifle is not going to be shot soon I run a patch soaked in TM Oil down the bore, also put some oil on another patch and wipe all the metal
..if the rifle is going to be shot I run a dry patch through the bore, then another on a chamber rod and dry the chamber well, also use a mop on the chamber
Further cleaning includes brushing the bolt face clear of chips and grit, lubing the lugs and bolt handle cam area and cleaning the lug recess and rails with a Midway lug recess tool. Also always remember to wipe the crown, lots of gorf accumulates at the crown. Always use a proper fitting bore-guide, that is a necessity. Always keep the muzzle tipped downward as you clean to keep solvent out of the action area. Wipe any spilled solvent immediately from the stock. Always store the rifle barrel down if possible, surprising amount of solvent stays in the bore and you do not want it to run back into the receiver area. Some bedding compounds and composite rifle stocks go to hell when solvents get to them over a period of time.
Congratulations on buying a NonTypical - they are killin' machines. My NonTypical has taken deer out to 783 yards. I shoot Accubonds in mine with excellent results. GA makes very good rifles, I just got another last week.