The best way for the Bat-reboot to fare well vis-a-vis Nolan is to set itself apart. Stylistically, it needs to take another approach. Because taking the same approach, it is going to be hard to compete, and even if it is good, folks will wonder why they are bothering. I think one of the things that ASM failed to do for many (not for me, but for others) was to set itself further apart from what Raimi did. They had a different tone and approach, but they weren't all that different really. It even seemed like the font and opening CG was reminiscent of the Raimi films. So, it was easier to say, "well, these movies are pretty similar in style, same origin being told for the same character, lots of similar lessons learned I guess, what's the point?" I think it could do Batman well to be situated in a less gritty, realistic world. Not Burton Batman, but maybe something closer to the Marvel universe style of comics than the Nolan style. More like traditional Earth 1 DC style Batman. Where wacky super powered villains don't have to be made "realistic" in some measure. Let the movies be more fantastic, and explore more about how Batman exists in that kind of universe. That's what I would do.