I am a draven main with 500 000 mastery points, I also make draven videos [Proxy Beats on youtube], I play in diamond and i belive i've mastered draven's mechanics. So i wanted to share the items that i build and the way draven is meant to be played. Because im tired of seeing dravens who last hit for 20 minutes, and then seeing them lose to the enemy adc 1v1.
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After you get the first items [BF-pickaxe-bf-zeal] Then you are stronger than anyone else in the game and can 1v1 anyone. It gives you all the AD you need to 2 shot enemy adc. This is your power spike, and at that moment you need to try to make plays. This build is soo strong because of the Q buffs.

+PROS -CONS

+Strong laning phase -Hard to master
+Strong 1v1's
+Can 1v1 anyone
+A good draven doesn't have counters
+Insanely strong if mastered
+Biggest dmg as adc by far

In lane always have 2x axes spinning and you have to play really agressive and hit the enemy adc when he comes to cs. That way you insert lane pressure and will always be ahead with cs, and you will get the turret first most of the time. But when playing that agressive you need to ward the river ,even when you are really fed, you can win most 3v2's when you have your core items, but still warding makes it easier. In the mid game you dont need to hold back and you can 1v1 almost everyone, but in the late game you need to hold back because you cant kill everyone simultaneously and they can outdamage you even when 2v1. But you if see the chance to flash in and 1 shot enemy adc then go for it.

The axes will land randomly or in the direction where you are going, and it depends on your movement speed on how far the axe will land. The easiest way to catch axes is to attack when standing on the circle when the axe will land. I also use many key-bindings to make things easier. For example A to walk and S to attack the nearest opponent, X will show the attack range, ALT + RMB will attack the nearest opponent aswell for me. I'm used to playing with these bindings but everyone has their own preferences. For example Vincent uses S to stop his character on the Axe platforms.

Basicly if you don't play like a scared little girl you will be good most of the time. Don't underestimate yourself because draven is the adc with the highest dmg.