Also, consider that that particular NAD 316 does not have the class g type supply as the higher tier models, and does not bring their high dynamic power. Even the next step up 326bee would be much less prone to clip than the 316, as it does have the class g trickery (NAD nomenclature is "Powerdrive"). Even the old 3020, if fully functional (a big 'if' for 40 year old kit), probably beats it in available dynamic power.
I'll interpret your words "more musical/accurate" to mean unclipped, linear amp behavior. That's customary here, although if an amp that is not linear is your favor, that can be discussed too, just don't expect any unsubstantiated tube pixie dust BS-ing, just the facts.
So, if that is an accurate assessment, you simply need enough power to meet your desired listening levels with the particular speakers you choose. Which speakers have you chosen? (That will be far more important in the grand scheme than what front end components you choose.)
The reason I asked if there were any 'less vintage' units available, the old ES being my choice if limited to just those listed, is that in my area the used market it saturated with late model AVRs of similar or greater capability than any of your listed options. Unless you're out in the boonies I suspect you may have more and better options available that you may have not considered.