The Fort Worth area is fairly good for a city, but if you move to the area, I suggest one of the smaller suburbs. The Texas economy is fairly stable comparatively speaking. It gets hot as hell in the summer here, but winter is usually livable with a few short periods of cold weather, rare snow, occasional ice, and some warm balmy days in January on occasion.
Hunting is expensive if you are going to lease, but white tails are abundant, and there is a considerable amount of government hunting land- it's just restricted on the types of firearms you can hunt with. I don't know the terrain you are accustomed to hunting in, but central Texas is pretty open and hunting deer is best done with decent rifles- much more difficult with bows. Fort Hood has a nice hunting deal that's not expensive that you may want to check out. Traffic in the DFW area can be a nightmare, but not as bad as Houston and Austin. The cost of living is probably in the mid-range compared to other metro areas in the country. I used to live in Fort Worth, and it's better (imo) than living in Dallas, by far.