I realized that there is another interpretation. If that's a part of a description about her figure, なっていた can be the simple past of なっている, which describes the present state of her hair as same as この道は行き止まりになっている. In this case, 美しい巻き髪になっていた is close to 美しい巻き髪だった/美しい巻き髪をしていた in meaning, and doesn't have a nuance of "became".