There are two styles of "coning". One is basically what it sounds like. A tool is inserted into the bore at the muzzle, and a portion of the interior, lands and grooves, is removed, leaving a "cone". I have seen this done with abrasives, for a small portion of an inch (if the ball is .490, then if you coned the barrel 1/4 of an inch you'd have more than half the ball started). The more drastic way of doing the same thing is with a cutting tool. As mentioned you are merely reducing the barrel crown down, into the interior of the barrel. IF done right, it shouldn't mess with the accuracy of the barrel...
The other method is to only file down the lands of the rifled barrel, often done by hand, which makes it easier to load as well, but the grooves remain untouched. This gives me the willies for IF you aren't symetric, you should expect a screwed up bore, and I can't see how folks can "eyeball" it accurate enough.
I am too chicken to try either method on my present hunting rifle, as she shoots better off the bench than I can in the field, so I have no reason to mess with her. Though, some folks swear by one method, others by the second method. I don't know that I'd do it on a Rice barrel, which are known for being pretty dang accurate right out of the shop..., I mean if it ain't the olympics, why bother?
How about reducing the size of your bullet by .005 - .010, and trying a thicker patch?
LD