I don't want bat credit card and ice puns either. It's good for a laugh, but only because of how bad it is.
Just make Batman serious without making him unnecessarily edgy. We don't need to psychoanalyze every little thing interesting about him until it's not interesting anymore, especially not in the first movie. Leave the viewers to fill in some blanks.
The Arkham games were a great example that you can have a serious batman and still have a silly but dangerous Joker. And all they did was ramp up the actually good cartoon series that is still better than the movies.