DACs that do well without a preamp

You’re not going to get a dac at that price that has a good volume control.
I had a Benchmark DAC 3 HGC and lived with its volume control for few weeks when I was in process of switching preamps. In my mind, that’s the only use case, to get you by. It was music to my ears when a preamp was re-introduced. Nothing at this price will give you performance comparable to a dedicated preamp. Brooklyn DAC+ or any of your other choices (except denafrips with fixed out) will just sound slightly different than the benchmark but the concept of low quality volume control will remain. 
In your case I’d actually take the $1000-$2000 and get a good preamp (i.e. Rogue RP-1 or RP-5) and keep using the BlueSound as a streamer with its built in DAC. 

I have a Wadia 321 with the ESS Sabre volume implementation.  It sounds very analytical vs running it through my Rogue with Mullard valves.   But I am a fan of hybrid setups (Tubes & SS). 

The Wadia 321 is a good DAC and can be had for around $1k but it has a sizable footprint.  Has a bunch of inputs (coax,digital,USB).   321di will process DSD.

Wadia gone now but 3rd party support does exist

I had to stand up a separate system during a renovation and found that my Hegel HD30 Dac performed beautifully when placed between streaming source and amp without a preamp. I bought it specifically for this possibility, as it has fantastic volume control.

i tried several DACs w analogue volume control.  All sounded better through my preamp.

I guess If you do not have a good preamp, it is a nice way to go.  A good preamp improves the sound to my ears, that I have tried.

I do get it, I ONLY have one digital input...but I love my preamp.

Find a used Antelope Zodiac Gold or Platinum. They are superb

Can only speak to the Benchmark 3 HGC. Without my preamp the the sound was lifeless and sterile. Overall the attributes I look for that get me closer to my perception of what the music should sound like where muted without my pre, of course YMMV.

The Holo Spring 3 had an analogue preamp option. Available used.

Check out the new W4S Gan1. It's an amp, that seems to not need a dac

there is a forum on AG

hth

I've tried DAC direct a few times and put a preamp right back in the chain