If Batman dies as part of 'Death of the Justice League,' could Lex Luthor become DC's new Dark Knight?

gamesradar.com:

DC announced a big summer event that will begin with 'The Death of the Justice League' in April's Justice League #75, where the big event of it is - you guessed it - the death of the Justice League. While according to the publisher one of the 10 main Justice League members will survive, the remaining nine will die - and the publisher has already showed a cover with caskets for Batman, Wonder Woman, Superman, Aquaman, and Green Arrow.

But as one hero falls, another must usually take their place - metaphorically, but also in terms of the monthly (and sometimes even more frequent and sometimes multiple) solo titles starring those heroes.

So who will take up the mantle as the main Batman, the main Wonder Woman, the main Superman, and the rest in the titles that carry their names?

We have some ideas, right now specifically about Batman… especially given how much of DC's comic book line is Batman-focused. 

Bruce Wayne has already removed himself from Gotham City for a walkabout of sorts with the rejuvenated Batman Inc., and the Bat-shaped hole has been filled quickly in-story with the remaining Bat-Family taking over the flagship Detective Comics title. At the same time, a new, second Batman - Jace Fox - has begun operating in Gotham City… but he too, has quit Gotham.

So if Batman/Bruce Wayne is dying as part of this 'Death of the Justice League' story, who will replace him specifically and his roost in the long-running, top-selling monthly Batman comic book series?

Obvious choices would be the aforementioned new Batman (Jace Fox), but also the guy who took over as Batman the last time Bruce Wayne died - Dick Grayson. A third option would be Damian Wayne, picking up on several flashforward scenes over the years which have