In a medium skillet over medium-high heat, warm the oil. Add the sausage and cook, stirring occasionally, until browned, about 3 minutes. Remove the skillet from the heat and set aside.
Spray a 2 1/2- to 3-quart casserole dish with nonstick cooking spray. Arrange 1/3 of the bread in the dish. Top with 1/3 of the sausage, 1/3 of the figs, 1/3 of the cheese, and 1/3 of the sage. Repeat 2 times, making 3 layers. Set aside.
In a large bowl, whisk the eggs. Whisk in the milk and salt. Pour the egg mixture over the casserole and set aside at room temperature for 20 minutes or covered in the refrigerator for as long as overnight. (If refrigerated, return the casserole to room temperature before proceeding.)
Meanwhile, heat the oven to 350 degrees.
Cover the casserole loosely with foil and bake for 45 minutes. Remove the foil, sprinkle the pecans on top, and continue baking until browned and a knife inserted in the center comes out only a little wet, 15 to 20 minutes.
Let the strata stand 10 minutes. Serve warm, with maple syrup, if using, alongside.