There has been major concern for the amount of tech garbage piling up in landfills. I would offer three possible solutions of varying degrees of hassle.
(1) Sell it on eBay / Craigslist. Broken or not someone may want it
(2) Freecycle it. Again, broken or not, someone may want it. Check for your local group on www.FreeCycle.org
(3) Recycle it. Check Google Maps / Yelp for a local electronic waste recycling company, they will likely take your camera, broken or not, for free.