Preheat oven to 350 degrees F. Slash fat on edge of chops, being careful not to cut into the meat. In a 10-inch skillet with ovensafe handles, cook mushrooms and onions in hot butter over medium heat until tender, 5-10 minutes.
Arrange chops in skillet. Add sherry, salt and hot pepper sauce; heat to boiling. Cover and bake 1 hour or until meat is fork-tender.
Cut avocado in half; remove seed and skin. Slice avocado and arrange over chops. Bake, uncovered, 10 minutes for until avocado is heated through. Place chops on a warm platter.
Blend cornstarch and 1 tablespoon cream until smooth; stir in remaining cream. Gradually stir into hot liquid in skillet and cook over medium heat, stirring until thickened. Stir in dill. Serve chops immediately with sauce.