Put chicken in ziploc bag and flatten with meat mallet or rolling pin. Place chilies and cheese in middle of breast and roll up from short end; secure with toothpicks.
Combine breadcrumbs, parmesan/romano, chili powder, cumin, salt, and pepper. Dip chicken rolls in melted butter then dredge in breadcrumbs. Place in greased 9x9 baking dish. Cover and chill for 8 hours to combine flavors.
Bake at 400 for 30-45 minutes or until chicken is done; discard toothpicks. Serve with salsa.