I honestly would prefer him to just have a story line that separates him from Babs and the rest of the Batfamily. Something I wouldn't mind seeing would be an arc where he's transported across the universe by some mysterious force with the only clue being that he was taken to where he needs to be or something mysterious like that. Essentially what I'm thinking is a Mandalorian type of plot line mixed with Logan where Dick has to protect a little kid whose half human half tammaran with the twist being it's his and Kori's daughter Nightstar.
I figure it can come out that Dick got her pregnant and when she found out he was with Babs so Kori kept it a secret not wanting to burden him and had the child raised in a secret location. As for the plot I can see it being a group of aliens wanting to use Dick and Kori's kid to take the throne of Tamaran by using the kid as a figure head. I love this idea because there's a lot of avenues it could go. I also like the idea of Deathstroke being hired to retrieve the kid and Dick having to go head to head with him to protect his daughter. At the same time I wouldn't be surprised to see William Cobb go after Dick's kid and a plot line like this would be a good way to bring in old and new threats to Dick's door.
Also I love the idea of him traveling through the DC universe acting as a mentor to a kid getting flashbacks of his Robin days with him going on adventures teaming up with other heroes like Adam Strange and such. Also Dick as a single father is something I'd like to see.