If a wire brush won't get it out, I am not sure what will?
I avoid wire brushes as much as possible.
Have you tried the following?
I have a 36 inch 1/2 to 5/8 inch wooden dowl, one end I carved an eye, and on the other I trimmed to fit in my cordless drill. I put cotton rags through the eye, swabb it up with Remington Bore Cleaner and slowly run it up and down the barrel or barrels. It scrubs the plastic and lead deposits left by slug stuff out.
This is what I do after shooting several boxes of slugs, or 3-400 rounds through my trap gun at a sitting, I think it does a pretty fast and thorogh job. After the Remington bore cleaner, I do the regular Hoppes #9, clean all that junk out and oil/grease up the action and barrel for storage.
Edited, I gave the wrong size of dowls that I use, 3/8s is too small for a 12ga, and won't stand up to repeated drill cleaning.