You’re worrying about gain too much. It’s rarely a problem and as long as the input impedance of the amp is over 10x the output impedance of the preamp you’ll almost always be fine. The big concern is you clearly have an issue with the sound. It’s a cheap Class D amp so not surprising you’re finding it dry sounding. Cut bait. It’s the wrong amp for you, and there are tons of other options. Here are a few off the top of my head worth a look…
https://www.galion-audio.com/products/galion-ts-a75-power-amp
https://classdaudio.com/product/gan-fet-amplifiers-3/
https://www.schiit.com/products/wotan
Pair one of those with something like a Schiit Freya and you’ll probably get much more of what you’re looking for.
https://www.schiit.com/products/freya-f
Just a few ideas, but it really sounds like the NAD pieces aren’t doing it for you, so don’t force the square peg into a round hole when there are so many other excellent options out there. Best of luck.