Are you sure that there is no one locally that would want it? Venison is a wonderful, lean and healthy meat as I'm sure you know, and if you were anywhere near me I'd take it off your hands with heartfelt gratitude, and repay you however I could! Some families struggle to purchase meat, and it sure wouldn't be as healthy as venison..
But I digress! If you want to feed it to your chickens you sure can. It's a healthy protein source for them as long as you feed it sparingly-- like a treat, only some each day. It just shouldn't make up more than 30% of their daily diet, is all I am saying. Lean meats are a great food for them in moderation. You can feed it raw as long as it's still fresh and hasn't spoiled or turned at all-- or if you prefer to cook it you can.
X2.