I don't know what is in that guitar, but if I were trying to get close to the Breed in the Duncan line, I would try a Perpetual Burn or JB. There is no pickup in the Duncan lineup that is just like the Breed.
The JB and the Breed are polar opposites to me. The Breed is thick but not muddy, I would use the word smooth to describe it. I would never say a JB is smooth but thats me. I have both, love them both