Recommended integrated amplifier for upgrade

How about a PrimaLuna 400 with KT-88 tubes? 

McIntosh or the Simaudio in SS.

Tubes, Audio Hungary any of their integrated's or Rogue. Not a big AR guy or PL, Raven.

Hybrids, Pathos, Vincent, Unison Unico Due and McIntosh oops Rogue also.

My sound preference is towards slight warm, wider stage with music genres of jazz, classical, new age music, and few jazz vocals.

As an Accuphase fanboy of course I have a preference, and the Accuphase house sound fits your sound preference.  I've owned the E-270  and E-470 (Current).  Those are previous models to the current lineup, but can be found used for MUCH less than the new models.

Second choice would be Luxman.  I've owned the 505,507, and 509 models.   All great but the 507 is the sweet spot IMHO for the price.

Have never heard your speakers, but Accuphase and Luxman usually play well with just about any speaker.  Both exhibit meticulous build quality & sound.

There is always PassLabs. 

Is you have around $6k very natural ,not too warm and the most current capabilities for control,and largest potted transformer in any integrated under$25 k with 3 amplifier choices with up to 18 wpc in pure class A  in the U.S A , Made for over 35 years Coda CSIB integrated amp.

these guys started out Waay back working as engineers with Nelson Pass

until he went solo around 1995,  10 year warranty ,5 year transferrable .