@signaforce I know the BHK very well and had it in my system when I started the company....I originally designed speakers. My instinct is something a bit warmer than the Qutest with a bigger image would be nice following the Chord. Here are three suggestions.
The Bricasti M3 would be a step up in every way except that it may lack the ultra fine detail of the Qutest. It will be a bit more neutral and the image will go from focused to massive and just deliver a different experience. Bricasti is made in Boston with phenomenal customer service. Historically, they have had a robust upgrade program that is inexpensive relatively speaking to keep you out of the used market churning gear.
Given your space constraint, if you go up from Bricasti, I would encourage you to look at Linn. It's a narrower box and I think, from where you are coming from (Qutest), you would even love the Katalyst level DAC from Linn. If you can stretch to Organik wonderful, but I find the mid-level incredibly musical and will be a bit less shocking coming from Chord. Linn has three different DACs offerings that are modular and easily swapped. In a side by side, I found it quite competitive with other $15K units. They even have a holiday deal now with trades too on the Selekt. The beauty of Linn is its modularity. They regularly come out with upgrades which is a way for them to sell you more but upgrades are typically cheaper than new boxes.
The Weiss 501/502 are excellent and will be closest tonally to what you have now but would be an elevation in almost every way sonically. More detail. Bigger, deeper image, etc... but it remains slightly colder like the Chord house sounds. The onboard streamer is outstanding and one you should used. The DSPs are nice and the flexibility between 2 channel and Headphone is unlike most other DACs. They have had an upgrade program for 501/502. I know an upgrade program is coming for another of their products so as long as he can, I am sure they want to give people the chance for a modestly priced upgrade.
This is a bit more limited/focused based on your saying you have a space limitation and want something a bit narrower. Playback MPD6 might work brilliantly sonically but I think it is too big for you.
Hopefully this helps.

