Dear God no.
Singer is a terrible director. His action is mediocre and his plotting is awful.
Why does he get so much love?
Thank you. I wanted to say the same.
My main objection to Singer in this case, though, is that he's too whimsical and adolescent for Batman, especially after Nolan.
I actually really like the suggestion of Fincher. Artistically, I should have a problem with an emulation of Nolan, but I think Fincher is one of the few who would be capable of doing his own eminently stylistic thing yet remain comfortably in tune with the first two films.