Hey Skinny... Happy New Years...
You might try several things to help with the barrel cutting the patch.
One try to get as tight a weave as possible and use as slick a lube as you can make or find. I use a mixture of cutting oil and water to come up with as slick a lube as possible (7-8:1 water to lube) and let the water evaporate from the patch.
There are all sorts of instruction on how to lap a barrel and what to lap it with, but I've lapped them with a bench rod marked in 4" intervals and worked my way up from the breech to the muzzle with equal even strokes per section. Some say you should lap the length of the barrel for each stroke.
You can use J&B Bore cleaner or mild abrasive lapping compound for valves and such, which is what I've used. This does help with patches that are torn in the lands.
Aloha...
