Well, most STCGG players I know all know at least one thing about me: I hate the Delta Quadrant.  There are various reasons, but let's just say the most outstanding is DQSS.  So this deck reverts to the old style of using the good old AQ for cheese.  So far this has gone 5-1.
 

Doorways
   Q's Tent
   Temporal Micro-Wormhol
   Space-Time Portal

Missions:
   Eliminate Virus
   Espionage Mission
   Agricultural Assessment
   Evaluate Terraforming
   Plague Planet
   Gravesworld

17 Dilemmas
 
Facilities:
   Office of the President
   Federation Outpost
   Spacedoor
   Ops
   Promenade Shops
   Guest Quarters
   Cargo Bay
   Docking Ports
   Docking Pylons

Other Seeds:
   Horga'hn
   Defend Homeworld
   Q the Referee x2
   Quark's Isolinear Rods
   Assign Mission Specialists (*)
   Assign Support Personnel (+)

Q's Tent
   The Traveler: Transcendence
   Genetronic Replicator
   Reflection Therapy
   Suna
   Palor Toff - Alien Trader
   Ocular Implants
   Phoenix
   HQ: Secure Homeworld
   Colony
   Defend Homeworld
   Regenerate
   Revolving Door
   Wartime Conditions
 

Draw Deck
 
Doorways
   Alternate Universe Door
   Temporal Vortex
   Q's Tent x12

Events
   Kivas Fajo- Collector x2
   Masaka Transformations
   Fair Play
   Genetronic Replicator

Interrupts
   Wormhole x4
   Distortion of Space/Time Continuum x3
   Kevin Uxbridge x2
   Amanda Rogers
   Q2

Objectives
   Operate Wormhole Relays
 
Incidents
   Obelisk of Masaka
   Panel Overload
   Feedback Surge
   Scanner Interference
   Reactor Overload
 
Equipment
   Medical Kit
   Engineering Kit
   Tricorder
   Medical Tricorder
   Medical PADD
   Starfleet Type II Phaser

Personnel
   Dr. McCoy
   Luther Sloan
   Deanna Troi (FC)
   Elizabeth Lense
   Dr. Fitzgerald (*)
   Alyssa Ogawa (*)
   Dr. Selar (+)
   Admiral Picard
   Jaresh-Inyo
   Jean-Luc Picard
   Paul Porter
   Dr. Telek R'Mor
   Miles O'Brien (BoG)
   Ambassador Krajensky
   Geordi LaForge (FC)
   Enrique Muniz
   Julian Bashir
   Admial McCoy
   Beverly Picard
   Benjamin Sisko
   Admiral Ross
   Beverly and Will
   Admiral Leyton
   Lal
   Richard Galen
   Spock
   Jo'Bril

Ships
   USS Nebula
   USS Intrepid
   USS Thunderchild
   USS Prometheus

   The main object of this deck is to hope the opponent doesn't seed a Balancing Act (which they didn't in my games).  Thus the number of dilemmas you'll encounter will hopefully be reduced, and misseeds will prevent the opponent from stealing your missions.  ASP for Selar, and try to get a Genetronic Replicator into play ASAP.  With all the medical in the deck, you should be able to avoid having your people killed.

Yeah, I know this seems cheesy, but I did ok with this deck.  Let me know what you think of it.