An interesting issue I'm seeing here is that the player's eyes are being pulled towards the visible frontal surface of the stairs on the right. Not that it's necessarily a problem, but I thought I'd point it out. Maybe powerups or enemies descend from those stairs which would then make sense for the player's eyes to be drawn to that area.
If you're willing to work with that minor visual imbalance, I feel like you should at least try to animate your current stairs to see if they work out before attempting other methods. Maybe try something like HDMD's animation, but smoother with more frames. It could be that your current stairs work perfectly fine if animated well. Good luck, your game looks interesting.