I cannot put into words how much I hate carbon rings. They are the single biggest headache with my 6.5 PRC. I start to get them in as few as 40 or 50 shots, and if I don't stay ahead of them I end up with a lot of work needed to get rid of them.
The easiest way to deal with a carbon ring is to stay ahead of it. First make sure you understand what a carbon ring is. It is a very hard, glass-like formation that builds up in the throat and the first few inches of your rifling that is caused by heat and pressure. They are very different from the regular carbon fouling that you push out on patches during regular cleaning and must be dealt with specifically. Regular cleaning will not touch them (which is why they build up and all of a sudden are a problem even if you have been cleaning regularly).
Some guys prevent them by periodically soaking a bore mop in a good carbon remover and inserting it into the throat until it is very snug and leaving it in there for however long they see fit, even overnight. Then come back and insert a bronze brush into the throat and spin it. C4 is a VERY good carbon cleaner and works over time to seep in and dissolve hard carbon, then spinning the brush (friction) breaks it loose. Pushing patches through the barrel cleans it out. If one develops to the point that you start noticing unexplained pressure or velocity spikes, you already have a problem and it's time to work on it. Then it's time to get something stronger like IOSSO or JB Bore Paste with some elbow grease.
Get a bore scope. I have the WiFi Teslong and it works great. Get whatever one you want, but if you think your rifle is prone to carbon rings, a bore scope will tell you for sure.