Many states outlaw hunting from horseback because wild animals aren't afraid of horses and will frequently let a horse and rider come right up to them.
When trailriding in the Ozarks, especially in the Wilderness areas, I have come nose to nose with elk, small black bear and many other critters.
I think this is the best way to get to see the wildlife. Just remember to stay on your horse if a critter comes after you because he's going to catch the slowest one and you can't outrun a horse.
