I just bought an Integrated Amp for my second system. No it doesn't sound like a tube amp , but it is detailed , has a great midrange , excellent low frequency control .... it has it all . Except the tube sound you are looking for.
As mentioned previously I have a pair of Mid Mono. It wasn't until I swapped my CJ pre for the incredible sounding Zesto Leto that I fully realized how good they are for $2000.
Maybe the Anthem integrated, Great amp. $4k plus. Still not going to have the tone and meat on the bones you seek. Great sounding amp though.
Honestly , a really good piece of gear won't always allow you to tell what the topology is. That Zesto is a good example. It just sounded so effortless and beautiful. It committed zero sins . It was a transformative experience owning a preamp of that caliber .