Any of them will do it since it is really just turning on/off a channel to make the different mouth poses.
Papagayo is commonly used to line up the words to generate where to turn channels on/off (there is even a plugin in Vixen to pull in the file it produces)
HLS has an editor built in to do the papgayo step
I used LSP last year for Halloween and just manually translated the timing marks from Papgayo on to the grid in LSP.
So, if you have a sequencer you are comfortable with it may just be a matter of adding papagayo to your sequencing work.