Adjust oven rack to center position and heat oven to 250 degrees F.
Heat a large (12-inch) skillet over medium-high heat. Rub roast on all sides with oil, salt and pepper. Turn on exhaust fan, add roast to hot skillet and brown on all sides, about 10 minutes total. Transfer roast to a plate. When cool enough to handle, rub garlic and rosemary all over.
Meanwhile, pour off all but 2 Tbs. of the beef drippings. Add mushrooms to hot skillet and saute until well browned, about 8 minutes. Mix broth, wine and mustard; add to mushrooms and simmer to blend flavors and reduce slightly, about 3 minutes. Pour mushroom sauce into a bowl; set aside.
Set a wire rack over the skillet and set roast on rack. Slow-roast in oven until roast reaches an internal temperature of 135 degrees F for medium-rare and 140 degrees F for medium, 2 1/2 to 3 hours.
Transfer roast to a cutting board; remove rack from skillet. Pour off excess fat, if any. Set skillet over medium-high heat; return mushroom sauce to pan heat to a simmer. Add xanthan gum and continue to simmer until sauce thickens slightly, about a minute. Carve meat and serve with the sauce.
This recipe does not contain many non-starchy vegetables. To maximize your results, it is highly recommended that you eat at least three servings of non-starchy vegetables via a SANE side dish or green smoothie along with this main dish.