Basically.. anything you use with Batman in it, be it a picture or a story (words only), means you're violating DC's copyrights. They are the owner of the brand Batman and the only ones who can decide if something new happens or not and what is appropriate.
Best you can do is contact them. Here is where you can find how and what they want from a submission:
- Submissions information
- Contact information
The only time you can use Batman in an original story is if it's a parody/spoof/gag and even then you're walking on a thin line, since that's based on opinion and technically you'll still be violating their rights. If it's a parody that makes the char look bad in their opinion, they can complain and win too. If you use it otherwise (your own book, your own shirt, your own drawing etc), DC can sue your ass.
So, next time you're making a story, use Bob/Pete/Giant Candle/Burgerman/ whatever.... made up names for your hero and make sure he's an original character with powers that are different from existing characters... then you can keep the moneys and control, cos now (even if you've only written it and not published anywhere) your story is DC's. No other way to use it, unless you go back to chop and rewrite intensively.
Hope this helps.