I was curious why you didn't bring up Misaki as well. I actually playtested Headhunter with her, and she performed marvelously. The strategies that we played with for this game were Line in the Sand, Entourage, Plant Explosives, Take Prisoner, and Distract. I chose Entourage and Plant Explosives.
And as Adran explained, Misaki's "Next Target" trigger makes killing and collecting in a single activation all that much easier. Just place the "head marker" somewhere out of engagement range of an enemy model, push to base contact with it, and as long as you have an AP left, you've got your VP.
Bodyguard can still work, but it's also relative to the crew you're playing against. Obviously you would/should be able to perform your activations quickly enough that you're not wasting time. And even against an experienced player (or any player that knows their own crew well), there shouldn't be too much time wasted between turns. However, if you're facing a crew that summons heavily, then obviously with more models on the board, it would mean more activations. Be mindful of what you're facing when picking this Strategy.
Good luck!