MY TAKE: In general, Brit speakers with Brit amps..
Your NEAT speakers with NAIM upstream components are arguably a best of breed synergy match. I have auditioned the pairing both at dealers and audio fest shows.
The challenge is which NAIM model(s) addresses the tension with your budget as you select a suitable spec amp model with the necessary “grunt” to perform in your generous sized room.
The philosophy is clear. An affordable speaker with decent amplification (and source) makes more sense than an expensive speaker with a cheap amp and source.
Amplifier power ratings
Another word on power: though it’s less of an issue now compared with the days of valve amplification, if your speakers are demanding to drive you’ll need a suitably muscular amplifier to support them.
Don’t look only at the headline power figure - see what happens when the impedance drops to four ohms. If the number nearly doubles, then your amplifier has good current delivery and will be capable of driving more demanding speakers.
ALTERNATE CHOICES:
In an A-B bakeoff at the dealer with your exact NEAT speakers, CYRUS amps were also real contenders and no pretenders. However … admittedly the room dimensions and ceiling height were smaller.
Tube amps …. Nope …. Stick with solid state especially with your room dimensions and speakers at a modest 88db efficiency .