Recommended integrated amplifier for upgrade

I'd add the Moon 340i integrated based and also look at a Rogue integrated if you willing to explore a tube amp.

Enjoy!  I think you have a good list - it's time to audition.

As a Luxman fanboy of course I have a preference. I believe the 507ux is being discontinued so may be a good timeto shop for closeouts. Higher power, lower output impedance to the 505ux.

In terms of the McIntosh, if you hear it and the Luxman you are definitely going to come out with a strong preference of your own.

Another brand you should consider is Ayre.

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.