My turn:
In order to have fully drawn ultimas + Eden...My 3 party members (Most likely are Squall Rinoa Zell) keep on drawing until no more spaces, while keeping one at high HP (umm...its not neccessary to be 9999hp unless im fighting Omega Weapon[omg weapon

])
If one of the member died, no panic, cast full-life (can be drawn from Tonberry King or Bahamut...) You may use life to do resurrection but i recommend you cure him/her immediately.
Oh yeah junction 100 quakes on everyone so the ultima weapon will heal you up eventually.
After the drawings I just simply meltdown and attack......I never use aura on that battle, remember to keep one at high hp is fine.