Josh grills elk steaks in Eureka Springs from the elk he shot with bow and arrow in Flagstaff, Arizona. Also on the grill is corn and peppers.
He usually brings home an elk every year, enough to keep our freezer stocked for what we really like: steaks, stews and jerky. Game meat is lower in fat than cow meat and does not contain the additives that cattle receive. If you are not a hunter, then ask someone who is if you could contribute something to their next hunting trip (food, or perhaps loan camping gear or an ATV) so they can repay you with meat.
Game meat is an optimal food source so don't be afraid of it. Game meat tends to have less fat than beef and therefore cooks faster and can be tough if overcooked. Sometimes the little bit of fat can have an overpowering "gamey" flavor. To me, deer tastes gamier than elk and moose. You can cover that taste by marinating the meat in spices, a small amount of oil, and processed sauces such as Teryaki and Worchester. I can only eat deer if it's cooked "well done."