Question I know VoiceLive does harmony, but does it do doubling

Absolutely ! Those four harmony voices dont always have to be set to musical intervals, they can just as easily be set to sing in unison with the lead vocal with slight adjustments of the humanizing settings such as Pitch or Timing in edit screen HA-2. By turning voices on and off, you can set the desired doubling thickness and speaking of this, there is another parameter that can thicken up the lead voice while using the harmony voices for intervalic harmony called fittingly 'thicken'.