>>695532Washington is great for waterfowl & fish. There's also decent deer & elk. For upland bird your best bet is the midwest. Hogs are best in Texas.
I'd say the most versatile is porbably here in Washington state. Canada goose, duck and grouse are great all around. Snow goose is available in the North. There's some chuckar and pheasant in the southeast. The land is pretty crowded with hikers and such for deer but there's still plenty of opportunities and abundant game. There's some elk herds in the Olympics. There's a huge variety of fishing opportunities (ocean, lake, river), with exceptional salmon and crab. Most lakes are stocked with trout. There's plenty of cougars and bears, but I'm not experienced with those so I'm not sure how the hunting is.
WA is a great /out/ state in lots of ways. There's a huge amount of national and state park, a variety of climates, and mild weather.