They might spice up Hugo Strange's physical appearance somehow, my suggestion is to make him a cyclops, no eyepatch, give him a glass eyeball that he has custom made, in fact give him a rack of eyeballs like Luthor's wigs in the Superman movies. So when he is on tv, he uses his Marty Feldman eyeball, and when he is facing Batman in his apartment he uses his Darth Maul eyeball.
Don't have to know the backstory, maybe just a passing ref to how Strange happened to be leaving the gent's toilets in an olde English pub, and got a bit too close to the dartboard.
and at the end of the movie, Batman knocks his eyeball out and crushes it under his boot with an appropriate McBainism/Goyerism..''Eye' don't think so Strange.'