To describe a process:
* Creatively: This is the most common and straightforward option. "He solved the problem creatively."
* Imaginatively: Emphasizes the use of imagination. "She designed the costume imaginatively."
* Originially: Focuses on uniqueness and novelty. "He wrote an originally structured poem."
To describe a person or thing:
* Creatively: "She is a creatively gifted artist."
* Imaginatively: "The movie is imaginatively filmed."
* Ingeniously: Emphasizes cleverness and ingenuity. "She came up with an ingenious solution."
The best choice depends on the specific context and the nuance you want to express.