Easily
You don't have to do much just do it right
Put him in an ultimate cat and mouse game where he has to figure out which villain is the one doing it as opposed to us and him knowing who it is from jump.
Next he's in sketchy situations investigating
Next he gets out of them with gadgets
Next he uses his wealth as cover. Being a playboy i.e. when bale used the ballerinas as cocrc to go to China
It's revealed
He has to Carnage his way out of it.
He has to make a moral choice
And go from there
see to me
THAT Ultimate Batman?
can't use no gun cuz.