Oh, I think any story can be told (I doubt many people thought Fables or Walking Dead would have had the success that they have). Of course, they had the GREAT advantage of being a blank slate. DD (in terms of the court room stuff)would certainly suffer from the same thing that She-Hulk did: as soon as you have a She-Hulk or DD comic, there is an expectation of Superheroics. If there's not, it's almost like false advertising.
This is kind of wishful thinking on my part, but if I were EiC and wanted to do this, now would be the time. Matt is off the table for the moment, so someone could come in and reinvent him, just as Bendis had his way with him. But they would have to start off with something along the lines of "he's sworn off DD forever and ever, but these darn cases need some investigation of the sort only DD can provide."
Again, it's my own little personal fantasy, because I dig L&O when it's done well. And DD has all the elements to structure the same kind of a story.