Sound characters important to me are good detail, natural, but can be a bit warm, sound stage, air, and the ability to reporduce the original recording. I invest lots of effort to improve my source, and I am hoping the result will show through the integrated amp I end up getting.
I know your title says SS, but everything you’ve mentioned from your listening volumes, to music types, audio objectives, and sonic preferences suggests you should at least consider tube integrated amp, or maybe a hybrid. There’s a very good reason so many die-hard tube fans exist....it’s not just nostalgic foolishness or blind loyalty. I’m guilty of having not heard many of the modern offerings of decent SS integrated amps, but my previous long history with many SS and tube amps has led me down the road to tubes to get that natural detail and warmth with a hear-through holographic character, unrivaled clarity, micro dynamics and deep soundstage that brings me into the venue. Cayin, Raven Audio, Willsenton, Doge, Carver, Reisong, Dared, Muzishare, Yaqin, Prima Luna, Vincent, among others, have excellent options.
There’s some downside with tubes regarding heat, and fairly logical learning curve, but it’s well rewarded. With an SS amp, you get what you get, and hope it’s what you wanted. With a tube amp, rolling a single tube can change the character of the amp, which gives you the ability to tailor the sound exactly to your liking. Though many just set and forget their tubes for years and enjoy what the factory sent. There are legitimate sonic benefits from tubes that many of us just don’t want to go without. Food for thought.