All in One Integrated Amp or dac streamer plus amp - around 5k to 6k USD

Have have you looked at the Musical Fidelity Encore line.  The software is MUCH better than when it launched.  The M6s Encore Connect is $4500.  It is a nice unit and MFs amp profile will fit your taste.

Of your list above, I am a big fan of Simaudio and the mind system works well.  Software is strong and the sound profile is also ideal.   

Full disclosure, I am an MF dealer so I am a bit biased.  I have no relationship with SimAudio.  Good weekend to but though.  Lots of retailers with deals this weekend.  

The new Elac DPA- 2 and DDP-2 are well worth checking out. Enjoy the music just reviewed the DDP-2 $4k the pair! Add a second amp ($1499) and have a totally killer system

I have used the Devialet for 4 years. Neutral sound, very versatile. Also looks good. You can easily configure to your setup. It is upgradeable, I have had mine upgraded a couple of times. I have used it with B&W804D speakers. I recently upgraded my speakers to Avangarde DuoXD. I was concerned over the match with the Devialet, and thought I might need to upgrade but I test drove it extensively at the dealers and we were pleased with how they worked together.

As a one-box solution it is great and I am very happy with it as such. I am however thinking of moving to a stand-alone DAC. In the case the Devialet is not ideal - it converts all incoming analog signals to digital via an ADC, and then converts back to analog via its own DAC before sending to the amp - so I would lose whatever I gained via the external DAC. 

I am very happy with the Devialet.  Was able to get it new for about $5500 on Audiogon.  

You can add the NAD M10 as well into the mix. John Darko has a video review of it and it goes for under $3K.
https://www.youtube.com/watch?v=mrNba10k3XQ

All the best,
Nonoise

Given the features and sound characteristics you're looking for and that your speakers probably appreciate some power, I think the Lyngdorf TDAI 3400 would be a very good choice.  And you get their RoomPerfect room correction as a nice bonus.  Fronting it with a good streamer/server like the Innuos Zen would make a great combo and achieve all your goals.  Here are some used units that would fit at the top of your price range.  Best of luck. 

https://www.audiogon.com/listings/lis9f401-lyngdorf-tdai-3400-loaded-hdmi-and-analog-audio-modules-r...

https://www.audiogon.com/listings/lis9fafi-innuos-zen-mkii-2tb-black-media-servers?refsource=hifisha...

I have Micromega M100 without MARS, very nice little amp, throws very 3 dimensional sound stage and very punchy. But if you can swing it, get M150 in the used market. 

Recently heard the new Cambridge Audio Edge A w/a pair of Rockport Audio speakers. Very powerful and rated down to 2 ohms.

I find the Gold Note IS-1000 to significantly outperform the Devialet 220 and the Ayre EX-8 in terms of soundstage scale, naturalness of timbre, and overall musicality (the Devialet being unnaturally forced in terms of hardness of attack and the Ayre being a little lightweight) by comparison.

Have not used the others but have heard the Hegel h190 in another system and rate all of the units mentioned in this post as a step above it but it’s hard to be definite given it wasn’t in my system. 

@harry26 

I highly recommend the Naim Uniti Nova currently retails for $7500 new, if you can find a used one for around $5k and less. It is basically a streamer/DAC/integrated amp all-in-one solution. Give the Naim Uniti Nova a listen on your speakers. 
The Nova has top notch quality streamer/DAC (that's what Naim is very well known for). Although the Nova is only rated at 80 eco @ 8 ohms but it's a very stable current delivery and it will be able to drive your Totem speakers with ease and effortlessly. I've heard the Nova driving difficult loads before with no issues at all. The Naim Uniti Nova is highly musically engaging warm (but intoxicated warmth, nothing like tubey syrupy type of warmth not at all), punchy with great rhtym pace speed & timing (excels in PRAT), very full body sound with lots of weight, great mid-bass & bass definition, very rhythmic sound quality great details nuances, etc. The highs aren't rolled off. 

NAIM Supernait 3

NAIM Supernait 3 with DAC, that is.

@audiofound 

The OP is looking for an all-in-one single solution (streamer/DAC/integrated amp all in a single chassis). So the Naim Uniti Nova will be ideal for him and sounding excellent.

I have the same speakers and am using a Primare I25 with satisfying results . . . what did you decide?