In Chinese speaking,traditional food is 传统美食。 I think every restaurant should have a name,some use the someone's name just like MacDonald and some use a dish's name which is famous for. You want to write a sign to tell people it's chinese restaurant ,so,it must be chinese character...中国的吃反 is not correct and I would say 中国风味小吃 or 唐人餐馆.