Either one would work quite well.
Cha Cha gives a more rhythmical faster hip and foot action.
Rumba will give a slower or more smoother controlled action.
Some faster cha cha that can be too frenetic can be dance as a slower rumba rhythm.
Rosemary Clooney
Pussycat Dolls
Michael Buble
Also do versions of the song.
Often I see people dancing either a Rumba or Cha Cha to Sway since it can be expressed individually by what beat and tempo moves you to express the music.
I hope this helps.