Carmen knows of all the major heroes, like those in the Justice League, and the Teen Titans.
She is actually most familiar with Batman and his alter ego. As well as all his sidekicks.
But she doesn't use her knowing their identities against them.
Carmen favors the more scholarly types witch is why she likes to pester Batman over others.
She does not really like Superman as he has an unfair advantage over her.
She is not a violent criminal and never steals from those who can't afford it.
So she's not a fan of the Man of Steel's ridged moral compass.
Batman is more flexible and she can actually get along with him.
Carmen flirts more with Batman/Bruce more than any other adult hero.
And she likes to tease any Robin the most. (Dick and Damien being her faves.)
Carmen is also meant to be about Bruce's age.
She will interact with any hero, but can feel a bit stand offish at first. And doesn't seek out any, other then Bruce, and maybe Dick. (As Nightwing)