Try the AT-1, apparently Andy used a JB prior, and the AT-1 is somewhat his perfect version of the JB.
Forum Search AT-1 / JB Comparisons for more information on this.
One story I read was that Andy used a customised JB, and that the AT-1 is designed to be similar to this, but work better with Andy's Pot value preferences. It's certainly not a like-for-like with a JB. There are EQ differences and mismatched coil things doing on there.
IMO Dimarzios and Duncans are equally good pickups. Dimarzio excel at modern voicing with the specialist "patented" mismatched coils, (think Fred, etc) and "Air" Technologies (think Air Norton). As such they have more pickups with extended / exaggerated EQ responses.
Duncan on the other hand excel at vintage voiced pickups. They use original Gibson, winding equipment with modern consistency and try to nail authenticity with their components. With the exception of the Dimarzio Area pickups, Seymour Duncan is my go to for vintage tone.
Generally Seymour Duncan base their designs on a 50's / 60's PAF tone, and tweak things such as wire gauge, number of turns, magnets, and other construction materials. I really like the JB, Alternative 8, Jazz, 59 and Pearly Gates for this reason.