Warning: this deck is in pre-alpha stage. It's been way too long since I built an Anarch deck, so I've probably got the economy completely borked and I'll only realize how to fix it after like six games.
Anyway, Lady's an awesome breaker, and corps are finally picking ICE to deal with it specifically. Spiderweb makes me sad every time I need to run through it. I felt it's time to give the corps a taste of what that feels like.
Enter BlacKat. Not only does it shred small stuff better than Corroder, it kills multisubs better than Lady. Spiderweb costs 1 stealth cred; Hive costs 2; Eli, 1 and a sucker token. Back her up with Davids and Datasuckers and go to town on some ICE.
This version uses Switchblade, Silencer, and Yog. A swap for Lockpick, Refractor, and Mimic might be better, but again I'll need to sit down and do some sustained testing to figure it out. I'm using MaxX for the extra draw because this deck needs to see a lot of cards relatively quickly, and because I love taking her bravura anger and forcing her to stay stealthy, but that doesn't leave me much Scorch protection. Another thing to look at could be swapping Daily Casts for Street Peddler and running the deck in Eddie Kim.
It should be great when it's done, but I think it's a long way away yet.