I wouldn't bother with the Tubbs system. I'd get it good and clean, and then go settle it in at the range. Shoot some groups, do some load development, but don't shoot any Barnes or Swift (pure copper versus gilding metal alloy - it will cause all sorts of fouling issues if you switch between the two). What you want to see is if the rifle will group reasonably well (1" or better at 100yds), and how long it takes before those groups start to open up a bit due to fouling. Track the number of shots. Then, when groups begin to open up, clean it again. My gut says you'll be cleaning every 20-30rds for a bit, then you'll start stretching that out to every 40-50. If your rifle will shoot 40rds between cleanings with no negative impact on group size, you don't have a fouling problem.
My 270Wby fouls a fair amount, as does my 243Win, and so forth. But all these rifles will go 30-50rds between cleanings without impacting group size, so the fouling is just part of the bargain. When I clean, I clean it all the way down, and then go back at it again. Over time, the intervals get longer, but I never go more than a year between cleanings just because I don't want the carbon in the bore that long. It can change the carbon content of the steel.