There are many of these donation programs across the country. Some are state run - others are private. The best one is called Farmers and Hunters Feeding the Hungry. They work a little different than most in that they solicit corporate donations like any other charity that pays butchers for the processing (meaning the person donating the deer pays nothing).
They also take advantage of the special depredation tags that farmers get in many states. Here is the link to that program:
http://www.fhfh.org/Home.asp