Maybe card dance? Works best if you can line up every card with a chunk of text so nothing gets cut in half.
Or take your displacement map and make it so everything to the left moves right, everything to the right moves left, and everything from the bottom moves up. It would take a bit of math to get all the gradients right, but I think it’s theoretically possible.
Maybe use something like a horizontal cylinder, and then match up the cylinder to another layer that has the bottom half masked out.