Hawaiian names often reflect elements of nature, the environment, or personal qualities. If you're looking for a Hawaiian name with a similar meaning or feeling to Madison, you might consider:
* Māhealani: This name means "bright shining one" or "beautiful princess."
* Kealiʻi: This name means "chief," "leader," or "noble."
* Makana: This name means "gift" or "present."
Ultimately, the best Hawaiian name for you would depend on the specific qualities you associate with the name Madison and what kind of energy you want to convey.