Lady Justice has a two inch melee range so your only real concern is Face of Death. If he pops up that bubble, just kill everything else and wait until you win initiative. Also you are a master, cheat and use stones the highest test is Wp -> 14. Just stay away from jack daw, he moves 10 inches a turn and doesn't have any movement tricks so you should be able to predict where he can go and avoid it. Unfortunately, I think Hoffman is now way better at dealing with undead than Lady J, so I'm not quite sure what she excels at anymore, but she is still a solid overall master that can slice the crap out of pretty much anything. When you get her Cb up to 13 see how you feel about her.
Perdita might seem OP because she is easy to play right out of the box. She just shoots stuff, and can't be shot at back. Any time you are going against a target number (Wp -> 13 for example) immune to influence does not come in to play, so terrifying, a lot of the tests the hanged make you do, sybelle's rough trade trigger etc. So you can get to her Wp but like you said it's really high anyways. She is susceptible to pulse damage. Df 8 is high, but not unbeatable. They have to flip bad cards eventually. Attack her at the end of a turn, perhaps after you've seen the player use a couple of obeys and know that he doesn't have any masks left. Perdita's crew is kind of slow and lacking in AP, apart from obey, so they don't really complete objectives very well.