I would not recommend Draven for a beginner, or Ashe for that matter. Draven has a hard Axe catching mechanic that could lead you to position yourself poorly, especially if new. Ashe has no natural escape apart from a slow, which makes her somewhat vulnerable.
Corki, Tristana, Ezreal and Caitlyn all have an escape mechanic that is far more forgiving. Corki has a fairly slow base speed though, but does a mixture of dmg that can be useful. Ezreal has a built in flash, which makes him a popular early game choice. Tristana is free, but I find that she she can be difficult early game. --- Support your local Poet