Do sleeves on a Hawaiian even have a purpose? IMO if you're wearing a Hawaiian button down, the extra 6 inches of arm coverage seems futile. Plus, sleeves leave a wicked farmer's tan and even Luke Bryan hates farmer's tans.
If you're not sold on sleeveless, you do have the option to add sleeves. All you'll need to do is buy two shirts, cut one up and use the fabric to add sleeves to the other one.