In a large bowl add the venison, salt, pink salt, pepper, caraway, black pepper, juniper, and garlic. Grind through a 1/4" die into the bowl of a stand mixer (or a large mixing bowl if mixing by hand). Mix on medium-low speed with a paddle attachment for about 2 minutes or until all of the ingredients are combined.
Place a piece of plastic directly on top of the meat, tucking in the edges so that no meat is exposed. Place in the refrigerator for 12 to 24 hours.
Add the diced pork fat to the bowl and mix with the meat until well combined.
Prep your casings according to the manufacturer's directions. Tie off one end of the casing with butcher's twine. Stuff the casings and secure the other end with butcher's twine. Place in the refrigerator, uncovered for 8 to 12 hours.
Cold smoke the sausages for 1 to 2 hours.
Hot smoke the sausages at around 200 degrees F to an internal temperature of 150 degrees F.
Place into an ice bath and chill thoroughly. Store in the refrigerator until needed.