Blackest Night - "Characters can't be healed by standard powers or team abilities unless they possess the Black Lantern Corps keyword." DOes that mean Dracula from Fear Itself cannot use Vampiric Hunger - "Dracula begins the game on click #4. Dracula can use Steal Energy and when he does, he may heal past his starting line." to heal because it utilizes Steal Energy?

That would be correct. No healing by standard powers or TA's.

Just remember, anyone with a Themed Team can cancel a Battlefield Condition.