Material: Red Meat
Meal: Main
Cooking: 30 Minutes
Preparation: 60 Minutes
For the sausage: Place all of the ingredients in a large bowl and mix with your hands until evenly combined. Cover with plastic wrap and refrigerate until the flavors meld, at least 4 hours and up to 24 hours.
For the sandwich:
When the sausage is done marinating, heat the measured oil in a large frying pan over medium-low heat until shimmering. Add the peppers, onions, garlic, and red pepper flakes. Season with salt and pepper and cook, stirring occasionally, until softened, about 20 minutes. Cover with a tight fitting lid to keep warm and set aside while you cook the sausage patties.
Divide the venison sausage into 6 equal portions. Shape each portion into a thin, rectangular patty slightly larger than the hoagie rolls; set aside.
Heat a grill pan or outdoor grill to medium (about 350°F to 450°F). When the grill is ready, use tongs to rub the pan or grate with several layers of paper towels dipped in olive oil. Place the sausage patties on the grill, cover the grill, and cook the patties undisturbed (do not press down on them) until grill marks appear on the bottom, about 2 to 3 minutes. Using a spatula, flip the patties and divide the cheese among them. Cover the grill and continue cooking until the cheese is melted and the patties are just slightly pink in the center for medium (about 140°F to 145°F on an instant-read thermometer), about 2 minutes more. Remove to a clean plate and let rest in a warm place or tent loosely with foil. Meanwhile, toast the rolls.
When the rolls are ready, place 1 patty on each roll, evenly divide the onion-pepper mixture over the patties, and serve.