As a new player who jumped right in with Lady Justice box set I really appreciate the views above. After about a dozen games with her I'm JUST starting to get the idea of how to manage the interplay between her, the Death Marshals, etc.
For the 19SS problem, get a totem. Scales of Justice is VERY cool. allowing you to refresh a card in your hand each activation. Also, her Totem being able to cast the spell that gives up to 2 models Melee Expert (forget the name) is awesome.
Let me also make a pitch for putting the Executioner in a crew. Like Lady Justice, when opponents see him coming they generally flee or hide ... since he Loves This Job, all he needs to do is get buffed up to Melee Expert (by Scales as above, or Lady Justice), lumber up to an enemy and kill it ... poof, all wounds healed as he revels in his handywork.
All in all, I"m really enjoying playing Lady Justice as Master, though I admit to being very impressed with Perdita and her crew.
Have fun!