Preheat your oven to 375°F. In a small bowl, mix together 2 teaspoons of salt, 1 teaspoon of thyme, oregano, basil, and rosemary. Combine these herbs with the melted tallow until thoroughly blended. Rub the herb mixture evenly over the surface of the bison roast.
Set the roast on a rack inside a shallow roasting pan. Insert an oven-safe meat thermometer into the center of the roast to monitor doneness.
Place the roast in the oven and cook uncovered for 15 minutes. Lower the oven temperature to 300°F and continue roasting until the internal temperature reaches 135°F for medium-rare, which typically takes between 60 to 65 minutes. Remove the roast from the oven, cover it with foil, and allow it to rest for 15 minutes. The internal temperature will rise to around 145°F as it rests. During this time, increase the oven temperature to 450°F.
While the meat is resting, spread the butternut squash in a 15 x 10-inch baking pan. Drizzle the melted butter over the squash and sprinkle with the remaining 1 teaspoon of salt and 1 teaspoon of thyme. Toss everything together to coat the squash evenly.
Roast the squash in the oven, stirring once during cooking, until it becomes tender and lightly golden, about 20 minutes.
Once rested, slice the bison thinly against the grain. Serve with the roasted squash on the side.
Any leftovers can be stored tightly covered in the refrigerator for up to 4 days.