I've only fought against Draven twice.
The first time, I was Ahri going bot against him..........and well, he left me.........less then impressed. Looking back at it now though, it was more of a skill issue as he constantly stood in my Q's path and stood completely still in front of his minions allowing me free charms. I basically kept forcing him to back whenever he came back into the lane.
The second time I was against one, he went top and **** near dominated it. If their bot wasn't struggling, they likely would have won.
So basically, he can be extremely powerful if you know what you are doing.