If WB marketing team decides to hire a band to make a song for the Batman as they seem to have a tendency of doing lately with their films (I mean, for almost every single film since Suicide Sqaud they've hired someone to make original music)... I say they should just get The Last Shadow Puppets, or more directly, Alex Turner.
He's extremely popular among young audiences, he's played around with sounds that very much fit in line with the noir inspiration Matt Reeves is gonna take with the film, he's a big Batman fan (he purposefully bought his house just around the Batcave/Wayne Manor studio of Adam West for god's sake), he's a good song writer, he'd probably manage to make an original song or songs for the film that wouldn't feel out of place and would fit with the aesthetic Matt Reeves is crafting, and he's already made a soundtrack for Submarine that was quite good and and fit perfectly with the thematic of that film. He'd probably do a good job unlike "Ocean to ocean"