(I don't recommend this method if you're cooking chops less than 1 1/2 inches in thickness. Instead, skip ahead to the direct heat grilling method.)
Season the meat with salt and pepper. If the seasoning is having a hard time sticking, brush the meat with a little cooking oil first.
Preheat your oven, grill or smoker between 150 and 200 degrees F. While preheating, make the basting mixture.
Add the garlic, rosemary, thyme and olive oil to a small pot or pan. Heat the mixture over medium heat until it becomes fragrant. This can take between 15 and 20 minutes. Remove from the heat.
Brush the chops with a little of the basting mixture. If cooking in a smoker or grill, place the meat directly onto the grates. If using an oven, place it onto a baking tray.
Every 15 to 20 minutes or so, brush the meat with the basting mixture.
Cook until the venison is around 12 to 15 degrees shy of the internal temperature you're after. Remove from the heat and let rest uncovered at room temperature for 10 to 30 minutes.
Dry the meat with paper towels. Preheat the grill or a skillet over medium-high to high heat.
Sear the chops on both sides. If grilling, baste the meat throughout the searing process. If using a pan, add 1 to 2 tablespoons of cooking oil to the hot pan before searing.
Use an instant-read thermometer to check the internal temperature of the meat. Remove from the heat when you're 5 degrees below your desired doneness. For example, pull them at 115 degrees for rare and 125 degrees F for medium rare.
Place a slice of butter on top of each chop and let them rest for 5 to 10 minutes before cutting. During this time, they will carryover-cook to the proper temperature.