How to "Stick" player to moving/rotating walls.

So, I’ve got this wallrunning setup, and it works pretty good on static walls, but I would like it to work on moving/rotating walls, which requires their location be updated as the wallrun progresses. I attempted an “Attach to Actor” solution, but in hindsight it occurs to me that this doesn’t actually physically attach actors and it functioning this way was sheer delusion on my part. Is there a way I can “Stick” players to a moving surface? Or some other method to update the player’s movement to account for the movement of the actor?

I am assuming I’d need a timeline approach, I’m already using one to set the player’s velocity for a few moments before re-enabling gravity.

And I’m betting we’d need to break the hit result in order to extract some vector. But the math henceforth eludes me.