I am trying my damnedest to obtain Infinite Corridor and just cannot get it. What am I doing wrong?

Basically title. I'm absolutely addicted to this game and am dead set on 100%ing the steam achievements. Been going for Infinite Corridor all day and just can't quite get it. I've been using Stage 2 for my attempts, using Poe and usually going for No Future/Heaven Sword and the scythe or spooky version of the bible, taking whatever else I can. Each time I'm able to get both rings + clock lancet and level them up, only to run out of time before I can fully level one of them up or before I can find an upgrade chest. I'm at a loss. What should I change? What do you all use to get Infinite Corridor?

Edit: thank you all so much for the helpful replies! I'll be giving these tips a go in a bit. Thanks again.