You are not going to find any paper that will add .003" to your bullet with two wraps. It just doesn't come that thin. If you want to shoot jacketed bullets in that rifle, just buy the right size ones or make/buy a swage die set to bump up 30 cal. ones.
Now then, if you want to shoot cast bullets, now you are talking! Cast them soft, size to a couple thou over bore diameter, patch to whatever fits the throat and fits a fired case properly, load and shoot at full whack with good accuracy. (Once you learn all the tricks that is)
But for the easiest and quickest solution, just buy the right bullets (like Privi from Graf's)