Well I suppose making them vigilantes would be a bit odd because there out in public so much and seen as obvious bad guys who are making things a whole lot worse for the common people.
They would be seen more like a scourge on the cities they are in and where ever they go. And the 2nd book has you trying to keep a bit of a lower profile while doing things.
Even looking at the difference in like a dare devil VS punisher aspect some people still like punisher for what he was doing, putting bad people down for good, the party in HV are putting good people down for good...so it would be very hard to have any sort of "good" PR campaign going for them. But then again they are on the side of house Thrune and they do have a wonderful PR/Truth team to spin things, but your only with a fringe member of house Thrune and since they have only put out the 3rd book this far I can't say what your future interaction with them would be.
Edit: quick thought on punisher, he still sees him self as a "good" person just doing what he feels necessary to get the job done.
The party in this AP is really evil so you would have to put the spin on them killing people and then casting the people they killed as trash to the kingdom or something like that. But like I said House Thrune is good about what the trush is.
But I guess if you took the angle of PR/Spin and it was a lower member of house Thrune trying to build something, IE a new NPC from the get go of the campaign trying to build his rep and power with a team of Evil people that could work, maybe consider re writing the NPC woman to that new NPC and giving it a better tie in with House Thrune and the over arching campaign, I think that would be a good place to start.
