Busting a ramrod is a real concern, esp. when hunting in cold weather when the fouling can be both copious and tenacious.
One thing I do, which I do not necessarily recommend, when reloading after a shot, I blow down the barrel a few times. If you are a BPCR shooter, you know how dramatically this will soften the fouling. Anyway, just a FYI, not a recommendation.
Do this at a range with an RO or at a match and you will get in trouble. But while hunting, if you have grey matter between your ears and know how to use it, I do not feel this is dangerous - it just looks bad. I make a fist that I put on top of the barrel and blow through my fist into the barrel. You could also carry 10" of the correct size of Tygon or similar tubing for this. It also helps to clear the firing channel, including the nipple.
Or a bigger ball. I normally use balls that are 0.005" smaller than the nominal bore diameter.