Here is my first pass at a deck in the vein of what the opening post describes:
Chaos Theory: Wünderkind (Cyber Exodus)
Event (14)
- 3x Diesel (Core Set)
- 3x Dirty Laundry (Creation and Control)
- 1x Escher (Creation and Control)
- 3x Indexing (Future Proof)
- 1x Levy AR Lab Access (Creation and Control)
- 3x Sure Gamble (Core Set)
Hardware (5)
- 3x Clone Chip (Creation and Control)
- 2x Desperado (Core Set) ••••• •
Resource (5)
- 3x Armitage Codebusting (Core Set)
- 1x Kati Jones (Humanity’s Shadow)
- 1x Same Old Thing (Creation and Control)
Icebreaker (6)
- 3x Atman (Creation and Control)
- 1x Deus X (A Study in Static)
- 1x Inti (Creation and Control)
- 1x Sharpshooter (True Colors)
Program (10)
- 1x Chakana (Creation and Control)
- 3x Datasucker (Core Set) •••
- 3x Parasite (Core Set) ••••• •
- 3x Self-modifying Code (Creation and Control)
15 influence spent (max 15)
40 cards (min 40)
Cards up to True Colors
Deck built on NetrunnerDB.
I went with Chaos Theory over Kate because I didn’t want to build around Prepaid VoidPAD and I don’t like running cards like Akamatsu Mem Chip. I focused on Parasite because 1) I like how it lets you pressure the Corp 2) I dislike Hive 3) you really want it for Swordsman.
I went with Desperado because I love Desperado, and of course so does Datasucker. Grimoire is also worthy of consideration. I’m also interested in Doppelganger (another card Datasucker loves) because then I would also run 1 Record Reconstructor 
. I prefer Chakana over Nerve Agent despite the lack of HQ pressure. 1 Knight might also be nice, if only to help with Wraparound + Power Shutdown.