Theory crafting a "no kill" team composition

My friends and I have been attempting this challenge in flex where we try to win the game without killing any of the opposing team. We've gotten fairly close a few times (taking 2 inhibs + baron) but haven't actually succeeded. What typically happens is around 10 min in, the other team realizes we won't actually kill them and so they stay out on the map way longer with low health and aren't punished.

What we try to execute is just have hella map pressure with strong splitting or difficult the catch champions + really good wave clear. So we've been drafting champs like Singed, Sion, Tryndamere, Udyr, Heimer, Ryze, etc. and trying to outmacro the other team to secure objectives.

I'm interested in what this community thinks would be the best team comp to win a game with 0 kills and how would you execute it?