Mix marinade ingredients in a large baggie. Season drummers with salt and pepper, and add them to the marinade. Refrigerate 3 hours then bring up to room temp.
Preheat oven to 300F. Arrange a wire rack over a baking sheet. Arrange drummers on the rack and slow cook 1 hour and 15-30 minutes.
For the sauce, melt butter in a pan over medium heat. Add garlic, swirl 2 minutes, then add whiskey, hot sauce and pepper. Drop heat to low.
Toss drummers with sauce and top with scallions. Serve with carrot and celery sticks alongside.