I’ve owned the NS-5000s for about a year now and have tried them with the Yamaha A-S3000 and now my current amp, the Mola Mola Kula. As you’ve observed, they definitely like power to help with dynamics and bass control. I’m not familiar with the NADs, but if you like the general sound profile, then bridging may make a lot of sense by giving you the added headroom.
There’s a lot I love about the Kula, but I was still wanting more dynamic range. Given my room constraints, monoblocking wasn’t an option and I really needed an all-in-one unit like the Kula. I recently added a sub, however, which significantly helped the lower frequencies (obviously), to the point where I no longer feel wanting for greater immediacy/speed. Depending on your setup and room, that may be an easier solution for you.