Don't try to trade with her, because you won't be able to walk out of her range without taking one too many hits. Just AA back whenever you can, especially when she's using her AA on a minion.
Push hard into her tower and dodge the resulting [Q] poke. Her wave clear isn't reliable and she ends up dropping everything in hopes of pushing you away. She'll go OoM pretty quick, and all you have to do is not step on traps. While she's focused on not missing out on CS, she can't poke you and either will be forced to back or try an all-in with her support. Never let her push to your tower, because her range is crazy good for free poke.
She's pretty safe because of her [E], so all-in situations have to be decided from the get-go. Risky tower dives are almost never an option because of how well she can kite you, not to mention what peels she'll get from her support.
As Draven, you can out-pace her pretty well, so try to force extended trades, if not all-ins, when she tries something. Use [W] to dodge incoming projectiles and get a lead so you can keep up when she uses her net.