looking for a Integrated amp $6,000 range

I honestly believe it would be difficult to do better than the Coda CSi balanced. I haven't heard any of the current Luxman models.

Coda CSiB, but make sure you have the latest revision that share the same FET as the Coda No.8. I have the No.8 (v1), it's phenomenal how it sounds.

I have the CODA CSiB from 2018 (used). It does not have the FET from the #8. However, this thing is amazing. It cost me 1/2 the price of the new 2021 version. I am really shocked at how amazing this unit is. The 2021 is supposed to be better but imagine it is an evolutionary improvement rather than a revolutionary one.

It is as good as the Mark Levinson 585 intragrated which was the best $12K and under integrated I had heard before the CODA. I have heard a few good ones before.

A second hand Pass Labs INT250.  Nothing else will come even close.

Having just spent a goodly amount of money on Pass gear, gonna be tough (impossible) to find an INT250 in the 6k realm. INT60 6.5ish, but not a 250. Still, you are correct. Great amp.