I don't typically recommend dining in the Caminito area but El Gran Paraiso is the exception. This parrilla is a bit hidden away from the crowds thanks to its entrance on the train tracks versus the Caminito itself. The inner courtyard is beautiful and a welcome respite from the hustle and bustle outside.
The menu is a typical parrilla menu. Sit and order for the full menu or for a quicker (and cheaper) meal, order a choripan or empanadas from the window outside. You'll be given a tray to take to their inner balcony with a fantastic view below.