Cat + Wonder Balloons + Burn Variant may work.
Use Magical Hats, Windstorm of Etaqua, Abyssal Designator, etc. to stop D.D. Warrior and you should be fine.
Any other problems with this?
Though you might want Yugi's Destiny Draw Skill instead of Draw Sense Earth/Low Level.
This is especially useful because you run Abyssal Designator. Maybe?
Or in addition to that, maybe use Cup of Ace to draw into Burn Combo faster. If Kaiba draws, you can also try to stall him out.
It's risky but maybe worth it.