I hunt Wyoming every two or three years. What I do is take a couple of coolers in my rig.
Once I tag my game I take it to the local meat processor and have it cut, wrapped and frozen while I do a little photography or fly fishing for a day or two. Pick up the meat, pack the coolers with it, and drive home. Once I had a delay in the trip home and it was almost three days from the time I picked up the meat and the time I got home.
The meat was still frozen solid as rocks when I got home! Good coolers, packed tight, frozen meat and if you want to get real good about it, some dry ice in the coolers helps too. I just came home with a mule deer and a pronghorn, it's about 900 miles. The deer was in one cooler, the pronghorn in the smaller cooler and all was well, once again. I've brought home I think: 2 pronghorn, 4 mule deer, and 1 elk over the years. Wyoming has been good to me.
Regards, Guy