Just dump them in your garbage until you get a letter telling you not to. Given that its only once a year thing, you could go 10 years or better before they tell you to stop.
Take a big cooler with you to the field as well as a gambrel. A good knife as well. Watch this guy quarter this deer under 5 minutes! "The Five Minute Deer Butchering" http://www.youtube.com/watch?v=28mZCOij4Vk
Impressive.