I have a grill it book and there is a recipe that I use everytime I make burgers. I take my venison and patty them up (season to taste), handling them very little. then wrap them with two pieces of bacon and grill with medium heat. Since Venison doesn't have very much fat this allows it to get the fat flavor and they will be very juicy.

As far as a gamey taste goes. I hardly ever have a gamey taste in any of my venison due to the way that I handle my meat. When I harvest a deer it is in a cooler within the next 90 minutes. The meat starts to break down as soon as the heart stops pumping so it is imperative to get the meat as cool as possile as soon as possible.