Draven by any means is not an easy ADC to master, ive mained him for quite a while now, kind of the reason why i know him inside out. want to counter him? pick a cc heavy support , try to keep him dead and DON'T let him get the first kill. in team fights draven becomes even tougher to handle, catching axes while positioning properly while focusing high priority targets that's just a shit load of pressure
in team fights want to counter him ? Pick Irelia ,vi ,jarvan ,malphite, blitz and Morgana.
I mentioned blitz and Morgana because of there cc. if he gets hooked or snared hes as good as dead. if you're playing as an ADC pick graves, cait or ezreal they do fairly well vs him. i wouldn't recommend vayne as the laning phase is a quite tough, but if you make it to late game you can all in him as soon as he drops an axe.
Draven is more of a high skillcap ----> high reward champion, playing him is always a gamble, there's a reason why you don't see him "that much" in high elo. and while alot of people do play him only a few tend to do well with him.
in case you wondering what kind of draven player I am
http://www.lolskill.net/summoner/EUW/xcrimsonx%20xwolfx/champions -----> my main
http://www.lolskill.net/summoner/EUW/howx%20syndrome/champions -----> my smurf