Skies:
The PROPER way to deal with a bulge is to hammer it back down, strike off the outside, then hone out the inside. A reblack is necessary. Simple in concept, but hard to do if you're not an experienced expert.
Striking or honing without moving the metal back into position is as dangerous as honing out a dent without raising it first.
I'd send your barrels to Kirk Merrington and pay what he asks. They will be fine again.