Best Integrated that you've heard under $5k

No idea if you want tubes or SS?
No idea if your speakers are rated 83 or 95 Sensitivity.
But why not throw out the best options:

Lejonklou Boazu Integrated. 40wpc. $4,400 new. Swedish- S.S.
Blackest background you've ever heard.
Pass Labs INT25 25+wpc. Used $5,500 or so.S.S. but tube like sound.
Audio Research I-50 $5,000. 50 wpc.New. Tube. Coming out soon.

Good luck!!

Limited scope of experience here, but my Hegel H390 drives my Dynaudio Contour 30s quite nicely. Factor in the very competent dac and streamer, it’s a solid choice. Lack of long promised Roon readiness deserves a demerit however. 

Naim products are consistently rated better than Hegel $4$.

Kind of a hard price point for me. At dealers and shows I often hear more expensive or way cheaper integrateds.

One that stood out is Bryston B135 cubed. I just saw one on hifishark.com for $7500. Maybe you can find a cheaper one.

For cheaper my favorite is the Schiit Ragnarok 2 I own right now. It sounds way better than I thought and is a great buy in the $2k - $3k range. 

I am curious about the Lejonklou that someone mentioned above. Maybe next time I upgrade (if that happens).

I really liked my rogue audio Sphinx at the time. 
I’m basically in love with the Tubelab SSE that I built myself.