My 2 cents, all meat is entirely dependent on preparation. Butchering process has a huge effect on the finished product. My assumption is that's where halal came from to begin with, equal parts food safety and how to prep meat so it's not gross.
After butchering cooking becomes super important. Different meats/cuts require different preparations. If you are trying to cook everything the same way, well there is your problem. I'm not particularly good at cooking, but I have enough expertise that I know that someone can make any properly butchered animal delicious.
When you say it "never really tastes good" what are you specifically taking about.
Toughness? Flavor.
You tend to hunt antelope in the heat, IMHO cooling the meat down takes primacy over everything. I try to have the meat on ice as soon as possible. Best pronghorn I've eaten were ones that I shot, skinned on the spot, and then immediately had on ice. Both were killed 10 min into shooting light when it was nice and cool.