I've always been a separates guy but my second system has an integrated amp. It sounds great, I'm pretty confident I could have spent more on budget separates and still not have gotten the same performance. That amp is a Cyrus i7XR. Way too small for your needs but it's a great example of how good an integrated amp can sound.
My Dad has the McIntosh MA8950. That is a seriously good amp. The built in DAC sounds excellent. He has it driving a pair of Sonus Faber Electa Amator III anda REL S/510. It's a great amp. .
Moon/ SimAudio makes great integrated amps too.
Definitely want to home demo amps in that price range if possible.