While the first volume was set in the time of the original character, the late 30's, the Bat in the second volume was a modern-day version. Neither got much face time in their respective series but they did appear on a handful of covers.
Jae Lee variant
The cover directly above is a variant for the 6th issues of the second volume and the only cover on which The Black Bat is prominent. It was done by Colton Worley.