Combine avocado, Hellmann's® Real Mayonnaise and lime juice in small bowl. Cover and set aside.
Heat oil in large skillet and brown ground beef over medium-high heat, stirring occasionally, about 6 minutes. Stir in shallots, garlic, tomato paste and chili powder and cook over medium heat, stirring occasionally, 2 minutes.
Add tomatoes and chicken broth to ground beef mixture. Bring to a boil over high heat. Reduce heat to low and simmer, stirring occasionally, until thickened, about 15 minutes.
Spread tortillas with some of the avocado mixture; top with hot rice, ground beef mixture, then cheese. Roll up and serve with remaining avocado mixture and, if desired, salsa.