Virginia, but make sure you are west of the blue ridge so you don't have to deal with the previous mentioned deer hunting with dogs. Plenty of Deer, and some large ones, but you will have to work for them. Plenty of national forest, some WMA.
Despite someone saying deer is all Virginia has, they couldn't be more wrong. Plenty of Bear, Squirrels, Tukey, Rabbit, some grouse.
Liberal Predator hunting season's coyote year round, red fox and grey fox, and bobcats also.
Drive down to the coastal area and you run into some waterfowl hunting, doves, etc.
Fishing: You can find many native trout streams in the mountains, and Virginia stocks trout in several streams several larger impoundments with bass, striper etc. James River for monster catfish, and if that isn't enough again drive down to the coast and fish in the ocean.
You can probably get somewhere around Roanoke and be within your 1.5 hrs to a airport. and the weather suits your needs as well.
Want to get adventurous? drive from Virginia down south and hunt hogs once a year on the cheap, or to Ohio and catch walleye, Ohio has big bucks also, well documented
Sucks driving out west to hunt though, absolutely no where out west is a short drive
there are other states that offer just as much as virginia, north carolina comes to mind, they have literally everything listed above as well and milder winters in most of NC.
South Carolina has avery liberal and long deer season and even milder winters than NC
WV has everything listed except the coastal fishing, and stripers and monster catfish
Tennessee has alot to offer as well and Kentucky as well