Best Integrated that you've heard under $5k

sorry, I didn't read the whole thing but your question is too vague.

Balanced or SE or does it matter?

and the most important... how much power do you need?

I use an Antelope Zodiac DAC that has analog inputs and the headphone output has plenty of power to drive my Avantgarde horns. It is awesome but for most people it is a non starter with the low power output, but goes straight to my initial point, your ask is way to vague to get any meaningful answers.

Recently heard an Octave Audio, V40 tube integrated at a shop just outside Boston while the OA rep was there. Going back to to hear it again as I can't get it out of my head. I've got some pretty solid gear but this amp was super rich, powerful and dynamic with a big vintage set of Snell A. Might have been the speakers but have a sneaky feeling it was the amp. Have heard them a ton of times & really like them for what they are but NEVER have they sounded like this. Just my opinion

What about Moon?  Anyone with experience with Moon?

Plinius - used if you can find one - saw mine (older model 8200Mk II) for <$2K - US distribution has suffered in recent years. New lists for $8000 - 200 W/C, saw a new one on eBay for $6500. I you just want to get an amp and forget about it, this is the one. If you are a hobbyist and like to roll tubes or constantly have upgradeitis, this is not for you.  Fantastic sound, plenty of power, and bulletproof.

Come and hear the LTA Z10. I think its a great option for <5k

Mat
www.jjaudiosolutions.com