Contact the handlers at your local airport. Virtually always vacancies for these kind of jobs due to the low (min wage) pay and the shift patterns required. No reason they wouldn't take you on, especially as you're likely to have a more professional approach to the task than some of the oafs that somehow get employed.
Highly recommend it as an interesting addition to your experience - I personally loved it - and it will be a useful background when it comes to troubleshooting through handling issues which you will inevitably encounter on the line. Some of your future flight deck colleagues have absolutely no appreciation of what goes on outside of the flight deck and it shows.
It also allows you to know when some of the less gifted dispatchers are making a total hash of things and trying to bull**** you about what is going on.
