Welcome to this forum rfcbuf. I see you are new here (4 posts), however with hand-made flinters, not new to the sport, even though you are using the fake powder.
Please stop as the others have noted. Those barrels are likely toast now, as Mike and Smylee have noted. Sending the barrel/s off for re-bore is likely your
best option, however, a look inside would tell whether or not this is the case.
According to those who know, Pyrodex fouling does not cause normal rusting, ie: pits, but actually causes sharp-edged craters as it seems to dissolve iron molecules themselves.
It is extremely difficult to get the fouling from the craters (microscopic or larger) to stop the rusting, - especially by only running wet patches up and down the bore. I would suggest,
the only way would be to remove the barrels, and submerge the breech in a container of water, and pump (tepid/cold/not even luke warm) water up and down the bore to
help flush the fouling from the crannies and caverns that are likely now in your bores. Here in the North, most of us ALWAYS clean our barrels by dunking and pumping water in and forcing
it back out - in, out many times, then drying and oiling. BTW- motor oil is not a good rust preventive, either. Ordinary Hoppe's #9 smokeless powder solvent is much better, and better than
Hoppe's own gun oil as well. Seems to me, Ezzox was the best rust preventative in the tests. Motor oil is quit useless in this regard. Just go to a auto junk yard and look at rusty engines.
Steel will actually will rust underneath a coating of motor oil.
I would clean the barrels well, remove the plugs and have a look-see, clean them again, to see if perhaps they can be lapped, or best to have them re-cut. Look closely for really deep pits in the
powder chamber area. We have seen these pits actually work their way out the side of a barrel, over time - & that time was just a few years. That fellow always flushed his bores when cleaning
as well, but the hole appeared. He refused to accept Taylor's and my recommendations he QUIT using that phony powder. After just a couple short years, he ruined 3 barrels on 2 rifles Taylor
built him. A .32, .45 and .54 - all English Sporting rifles. They were quite beautiful, but all three barrels, tapered octagonal, were ruined. It was very costly to replace them.
Bobby Hoyte comes to mind for re-boring. That is what I would do, just to save 'all that work'.