If a guy is perfectly content hunting whitetails and pigs, some of the southern states have virtually unlimited opportunity...but the western states have a more variety of critters.

As far as Alaska...I know a fair number of folks who lived up there for several years, but ended up moving back to the western continental US for various reasons...including the hunting. If you're specifically after big antlers and bears, then yes....Alaska is the place to be but other states have their own virtues, including an unlimited number of deer one can kill in a season...you couldn't pay me enough to live in the deep south, but in some areas down there hunters can kill as many deer and hogs as they want. It's all dependent upon what a guy wants.