Hope this does well enough to go beyond the 6 issues, because I would happily ditch the main universe for this one.
I can't be sure, but I think Bruce/Babs is more of a Timm thing than Dini. Dini seems to prefer Bruce/Selina (and Bruce/Zatanna). I don't know how he feels about Dick/Babs though, maybe he will go for that.
I tend to trust Dini more than Timm in general. They are great together, or were, but Dini respects the characters more I think. And of the two, I think he's better for Superman and possibly Wonder Woman as well. Because Timm definitely isn't great with them.