Combine 1 teaspoon lime juice and remaining rub ingredients; reserve remaining lime juice for Avocado-Mango Salad. Press rub evenly onto beef steaks. Place steaks on grid over medium, ash-covered coals. Grill, covered, 9 to 13 minutes (over medium heat on preheated gas grill, covered, 9 to 14 minutes) for medium rare to medium doneness, turning occasionally.
Meanwhile, prepare Avocado-Mango Salad. Combine mango, avocado and onion in medium bowl; sprinkle with cheese and drizzle with reserved lime juice, tossing gently to coat. Season with salt and black pepper, as desired.
Serve steaks with Avocado Mango Salad.
Cook’s Tip: For less heat, remove interior membranes and seeds from jalapeño pepper.