I play the Caro almost exclusively as Black. I don't think of it as drawish; I think of it as an opening where Black develops with little difficulty and where White often over-extends.
Some players seem to think "attacking" is something you do against an opponent's king. That's a narrow and self-defeating perspective. Attack a weakness ... and I promise you: in the Caro, White has one.
Larry Christianson, who is an aggressive player, frequently plays the Caro-Kann. I remember a famous Tal-Petrosian game involving opposite side castling - Petrosian won beautifully. A strong player can create strong play and attacks from any reasonable opening. The Caro-Kann is a very good and varied opening.