Looking for an integrated amp around 4000 to 5000.

+1 for Pathos Acoustics hybrid-integrated

Too many option in the market today dear @pal. Also too many opinions...
The only way to properly invest your well earned money, is making a short list with some of the suggestions that you like in the paper and then figure out the way to make some demo.
Trust your ears, our opinion is redundant, since we have different preferences, tastes, systems, rooms, wifes, etc...

Used McIntosh MA5300; new McIntosh MHA150; Yamaha AS3000; used Cary SLI80 ( this would be my pick); used Accuphase E-270; new Yamaha AS1200; used Electrocompanient ECI 6 MK II; new Shindo Laboratory Apetite 6V6. 

Anyone have thoughts on the Yamaha AS3000 versus Luxman L-505uXii?

This, with the "celebrated 'Velvet Sound'" Asahi Kasei AK4490 DAC circuit:

https://tmraudio.com/components/integrated-amplifiers/micromega-m-one-m-150-stereo-integrated-amplif...

(I own the M-100 - same DAC but 100w amp and no room correction)