Middle Eastern cuisine always have a fish and chicken option and are not cheese and milk-based at all. So I could see that working.
Do you have a Middle Eastern cookbook? Claudia Roden's New Book of Middle Eastern Food is my favorite. I've had it almost 20 years. The spicy Moroccan shrimp is a favorite. Ginger, cumin, paprika, and as much chili powder as you want. To die for,