looking for a Integrated amp $6,000 range

Auditioned LTA, Odyssey, Pass and Lyngdorf in A-B comparisons in my own home. Plus a couple more. Room got quite crowded for a while! And Lyngdorf just to give Digital a shot but thinking it had zero chance with my anti-digital amp bias. Lyngdorf bested them all to my shock and surprise. Closest thing to a wire with gain. I don't like the tube distortion sound and the lyngdor was more accurate than any of the SS analog amps I auditioned. But the Pass was a close second. PLUS you don't need to spend thousands more on good quality DAC. Generally that will free up another $2K for other investments.
All that said, the LTA offering was awesome looking. I was definitely rooting for it to win. LOL. I may yet buy a tube amp and just plug it in and let it glow for a visual effect.

There are two Ayre Ax--5/Twenty's for sale on hifi shark/ebay for $6k and $6500. Lists for $15k. Not sure why they are going for so little, but great deals on a fantastic integrated. Read the reviews, one of the best.

+1 on Coda electronics / Legacy speakers synergy.

Perfect amp for the Legacy Audio Focus would be the Allnic Audio T-1500 mkII

I've used a BAT 3000SE for the last 3+ years.  Built like a tank.  150 watts per side.  Hybrid, so two tubes in the pre-ampstage.  It lists at $8000, but I believe cosmetics will change soon to be in line with new BAT look, so you may be able to get one new for your price range.  In fact, there was a time a few years ago when Music Direct had a sale for $5600 (naturally, a few months after I got mine!).

The only reason I'm trading mine in is to upgrade to D'Agostino Progression.  So, you should be able to get used for $3000.  (If you are interested let me know.)