When you are looking to express your desire for something in a more creative way, there are various synonyms for "hunger/thirst for" that you can use. For instance, you can use the term "craving" as it signifies a strong desire or urge for something. Alternatively, you can use the word "longing" to express an intense yearning for something that you are unable to have at the moment. Another term you can use is "pining" which reflects a deep emotional need or craving for something valuable to you. Whether you use hunger, thirst, craving, longing, or pining, it all depends on what kind of context you are using it in, and the level of intensity in your desire.