Preheat oven to 450°.
To prepare chicken picadillo, heat oil in a large nonstick skillet over medium-high heat. Add ground chicken, cumin, oregano, salt, and jalapeños; cook until chicken is browned, stirring to crumble. Stir in flour and chili powder; cook 1 minute. Add raisins, vinegar, sugar, and tomatoes; cook 3 minutes, stirring frequently. Add beans; cook until thoroughly heated.
To prepare nachos, arrange chips on a large baking sheet. Spoon chicken picadillo and salsa evenly over chips; sprinkle with cheese. Bake at 450° for 5 minutes or until cheese is melted.
Serve with chopped cilantro, shredded lettuce, sliced radish, and low-fat sour cream.