How to counter Kayn as Zoe?

Kayn can walk through the sleep, dodge her q and then proceed to one shot her. I dont see any way except being lucky enough to catch him with his wall walking ability on cooldown and hiting the E+R+Q1+Q2 combo. And Zoe seems underwhelming when fighting against champions that have a lot of long ranged aoe damadge (Lux,Annie). She is really fun though and I love her design, it just seems hard to play her in the current meta with a lot of tanks and Kayn jumping around. Also what should she be doing during big team fights?