How do you play against Swain?

I've just had a game where i was playing Vel'koz against Swain. What can you do against these: -He outdamages you. -He has free waveclear with his ult. -He heals every bit of your damage back after you poked him from minions. -You cant get too close or you get destroyed and timing and positioning are quite hard to get significant damage onto him. I don't know what you guys think but he seems like he is still pretty strong. He is the kind of stat check champ that Riot said Vlad was. They both got rewoked but i don't see how Swain isn't a statbot anymore. He doesn't really seem to have a weakness unless you absolutely remove him from the game right from the start with constant babysitting.
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