ON fox hunting, they tend to sleep curled up on the south slope of a slight rise in the middle of an open field or area. The fox uses his nose and eyes to protect him from attack. He wants lots of distance between where he naps, and where coyotes, and feral dogs might be traveling along the edge brush on the field. And, he wants a 360 degree escape route if they spot him. You can drive the country using binoculars, or spotting scopes to find him, and this can be a fine way to spend a day in January or February when there is snow on the ground. Old Red sticks out like a sore thumb in those fields, but don't look for him in the winter unless the sun is out, and a south wind hints at a coming thaw. If you spot him, you can stalk him from down wind, and get reasonable close for a shot. I got within 10 feet of one on an occasion, and could have shot it with a handgun, if I had one along with me that day.
That Kind of hunting should appeal to you. You don't kill many fox, but the ones you get you have earned !
As for big game, Mule Deer will weigh more than even that large White tail you took. So will Elk, Caribou, and Moose. Moose are the most difficult to hunt depending on species, and Elk live in country that can kill you just getting into ! Caribou are the farthest away, but are easier to get near to for a shot. You find a spot along one of their migration routes and wait for the caribou to come to you. Then you have the bears and moutain lion. Both can kill you. You want nerves of steel and a good gun, and backup.I have black powder cartridge guns that I would use to hunt all these, rather than use a round ball .50.