Vampire Counts vs High Toughness Units

Another question for Vampire Counts.

How can I deal with enemy monsters, or generals ,or generals on monsters, with high toughness and armor, without stacking wailing dirge?

From what I can tell, VC have only one unit with S=6, the zombie dragon, that can only be taken with a vampire.

The opponent can easily field monsters with high strength and toughness, so how can I deal with them?

I'm asking because I've had my ass handed to me in two games in row against Orcs and Ogres, both of them having multiple extremely strong and cost effective solo units.