How to lane vs a fed Darius?

I was playing Illaoi on that game, and while i usually do well against Darius as Illaoi, i got cheesed by lvl 2 Shaco with ignite and Darius camping the top bush giving him two early kills, plus he got a third from my Master Yi jungler.

After that i just didn't know what to do anymore, he had and and was dodging any of my skillshots with ease. Also my animations are so slow that he would just close the gap and latch unto me everytime. He was very aggressive and even farming undertower was almost impossible. I died again and his lead was too big for me to do anything.

I usualy expect to be able to farm undertower when my enemy has the advantage, but for the first time i wasn't even safe and without minions i was falling further behind on every wave. With my slow animations and his movement speed i felt like there was nothing i could do, especially with how sticky Darius is with his grab and slow.

If i was to replay that game i know i could probably do better on some points, but anyone got a tip on how to lane vs a snowball champ like Darius when sh*t goes bad and he gets an early lead?