@blisshifi is giving you proper advice. We have a tv room with a similar shelving handicap. I tried Harbeth, Wilson Tunetots, etc, etc. Rear ports are out. Just forget about them, even the tunetots. The best arrangement I found was with Audio Note Super K’s but the gear you have would be a poor match. I hesitated even replying because it will take work. You may need to install some acoustic panels in the shelves, you may need some adjustable stands to isolate and be able to get the tweeter firing at the listening position.
See if there is an Audio Note dealer near you who might have a demo pair for you to see how they work in your application.