Cook and stir beef, onion, and garlic in 10-inch skillet over medium heat until beef is light brown. Drain; stir in tomatoes, jalapeno pepper, salt and pepper. Break up tomatoes with fork. Heat to boiling. Reduce heat; simmer uncovered, until most of the liquid is evaporated, about 10 minutes.
Cut papayas lengthwise into halves and remove seeds. Place aobut 1/3 cup beef mixture in each papaya half. Sprinkle with cheese. Arrange in shallow roasting pan. Pour very hot water into pan to within 1 inch of tops of papaya halves. Bake, uncovered, at 350 degrees until papayas are very tender and hot, about 30 minutes.
** Recipe from Betty Crocker Regional and International Recipes.