Well since you included fishing…..That makes it a bit more difficult.

The main things I would look at are:
species diversity
quality of their wildlife management system (which includes seasons & bag limits)
Quality of the trout & smallmouth bass fishing

Some states in the running would be

Idaho-incredible species diversity & absolutely beautiful
Montana-self explanatory
Ohio-great deer and close to home but not sure about the fishing
Missouri- good deer/turkeys & smallmouth
PA- lacking in deer quality, but if I had enough land to manage I could deal with it. Excellent trout & smallmouth fishing