Take small 100lb or so animals and they will taste better. Plus getting them home is easier. A 200 – 600 pound animal in thick brush is going to be a real lot of work to get out to the truck.
Look at what the amimals are using as feed. I love corn fed deer. The meat is never gamey tasting. So I like to hunt deer that are feeding at on farmers fields. Deer feeding on acorns and rough under brush taste gamey. If you find a famer having trouble with pigs in his crops, ask him to let you hunt them.