It really comes down to priorities and preferences. If high quality at high volume is a priority then you need different speakers. Its that simple. The power demands of those speakers at high volume, forget reserve, you need hundreds of watts. Need. To use. Not have in reserve. Whatever that even means.
Tekton makes some great speakers, very high efficiency, great sound, and their favorite amp is Pass. It would seem a match made in heaven.
But if on the other hand you're totally in love with the medium volume sound, able to understand what's going on and live with the compromise at higher levels, that's fine too.
Most of what I see here though sounds like trying to have it both ways. Since horses for courses didn't gain any traction how about don't put legs on a snake? You have some fine speakers, for what they are. Don't try and make them what they're not. Doing something up a rope, or into the wind, comes to mind.