For one thing, a Barda-Only Story where Barda gets her hands on the Onyx Sword from Gods and Monsters and jumping universes to meet the somewhat criminal Superman of that earth would make for a cool comic.
The Premise is fun, there was an anomaly at the Source Remnant on New Genesis. The Source Remnant has this sword hilt in it, when grabbed the MotherBox like tech in the sword activates and tells Barda a secret way into this alternate universe. It also tells her that in this alternate Scott Free is a strong and powerful warrior.
You set up that she needs “Scott Free” from Gods and Monsters Universe to donate some blood for Local Mister Miracle because his time on Apokolips robbed him of something from his diet that every child on New Genesis gets. Subsequently an organ is shutting down.
Barda has to get a sample and reading from “Bad Scott Free” to save her husband, strangely the sword “Wants to Go Home”