Looking for an integrated amp around 4000 to 5000.

Like someone earlier stated. The Manley Laboratories, "Stingray Integrated", sounds comparable to many Hi-End, "separates". 
It is basically their "Mahi", mono-block design. Just two of them built on the same chassis with a preamp section as well. .It also comes with a nice remote. Also a In/Out loop which I used for pre-out to my subs and crossovers. So you can have subwoofers in stereo also.. But you could "Sum" for just one if needed.
I just happen to have one too.. In case you would like to try it. "I now have several sets of the, "Snapper" and also, "Mahi", mono-block amps for use with my mains". The tubes have low hours also. That, since it wasn't long, "About a week" after purchasing it that I went for all the mono-blocks!~
and the Neo Classic 300B preamp.....

While Parasound does have a warm cuddly sound, they are class A/B, and do run warm. W4S is class D , has a cooler sound but very efficient. So if, electricity is a concern...
Underwood had a couple W4S integrated on sale at a deep discount. You would need to check with them

I recently purchased a new Hegel H390 for $4800.00. It is a very good product. Compares very well to the $11k H590, in fact, a lot of the electronics are shared.

Audio Research made some--50 and 75, I believe.  You might want to check them out while seeking one for your system.

Cheers!

@pal   

I am looking for a greater sense of presence in the music. More body in the vocals and space between instruments.

This part is very helpful - now we understand what you're looking for.  I actually think your speakers are holding you back from achieving this much more than your amp.  Those Ascendo C8's are not necessarily the fastest nor the most dynamic (particularly at lower volumes).  I would opt for a speaker change before considering an amp switch.