As @Gazza and many others have highlighted, there are many variables in this hi-fi lark, with some ‘known challenges’ and some of those nasty ‘unknown unknowns’ or unforeseen aspects, hence why a process-like approach is advocated, so as to ensure you can address, understand and limit the influence of the variables, and introduce constants, which also helps you to evaluate changes in kit, obviously for good or bad.
In business, there something called ‘analysis paralysis’, where too many inputs/opinions (as well intentioned as they are), can start to muddy think, approach and stifle actions – I think the advices from B&W (as an example) don’t fit your cause here. Assuming you want the highest quality replay through these wonderful 'speakers, then:
1- Understand and address any room issues
2- Get a better/best source you can - better source components will enhance detailing, bass performance and whole musical picture – this is what adding a 555PS will do to an NDX. Note the words around bass – you’ll have more, with more weight to the music. Even better with say an ND555 (obviously).
3- Address the pre-amp, as this also heavily influences the replay – you need to get more through the amps per the source upgrade.
4- Now, on the basis the 300 is ‘good enough’ for the B&Ws, I’d address a power amp change last i.e. it’s just not sensible to look at this first, when you don’t know what the source upgrades will deliver in to the speakers and your room.
I stand by my words that, ultimately, these 'speakers will benefit from a far better/more powerful amp – but it’s really not step one. The real risk is that you improve the amp now and then find an improved source over-bass(es) your listening room. You don’t need Statement-level, it’s just that before the NC350s arrived, as good as a 500DR is, some 'speakers challenged it. The usual wisdom is a great amp with relatively modest speakers hooked up, is far better than a modest amp with big speakers (read as often ‘demanding’). You can tweak performance with cables, especially 'speaker cables, but I’d stay away from this at the outset. Stick with Naim’s standard stuff.
Of course, nothing above stops you from playing with bi-amping etc, on the basis this is easy to achieve.