Traditional Hawaiian sound comes more from playing style than from instrument used. If you are serious and hardcore about you need to get a custom build from Hawaiian luthier guild, or buy an old Hawaiian uke where the fretboard did not overlap the soundboard but was flush. And of course only use gut strings.
Try black nylon strings on a $50 or less uke that has a good set-up down on it. You probably don't need to spend even $100, maybe just around $50 plus a set-up cost.
Work on fretting technique as well. You can change the sound by how you fret.