It feels like every time Ashe goes up against Draven in lane, she's required to lose
Tell me what an Ashe can do against a Draven in lane? Passive farm? Draven will win out in gold gains thanks to his passive once he kills you. Fight him? Complete suicide, he does practically DOUBLE your damage. Call for ganks? Too bad your jungler is ignoring you or getting his ass kicked. Turret hug? Since when are turrets any sort of deterrent when they're STILL useless? Besides, Draven can ult you under turret and instantly kill you with that.
Only thing I can think of is lane swap and hope he doesn't follow you top lane.