Tube Preamps.....

This is a gorgeous sounding preamp in the listings $500 under your budget....

https://www.audiogon.com/listings/lis8fg1h-synthesis-art-in-music-ecstasy-line-level-tube-pre-amp-tu...

No affiliation with the seller but my local dealer Deja Vu Audio is the US importer for Synthesis so I've heard their gear many times. Very transparent organic warm and musical and being Italian very stylish looking.

Research Rogue Audio.  The RP-1 is $1.5K and the RP-5 is $3.5k .  I really like my RP-1 and the folks at Rogue have been really confidence inspiring on the phone. Only issue is no Balanced out until you get up to the RP-7.

Atma-Sphere UV-1 and an Ayre Codex DAC would be my suggestion.
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I highly recommend Don Sach's 6SN7-based tube preamp.  It betters any preamp I have had in my system and I have a boatload of them.  Don sells the preamp directly so they are an extremely fine value.  There are lots of review of the preamp on this and other forums.  

Yes with the 565’s being heavily modded by Musical Concepts that made a huge difference in the way they sounded. They never were as bright and leaned on the more neutral side then other Adcoms. After the upgrades completely different amp. I have a friend that has stock 565’s and they sound much better with tubes. that was why I was leaning towards a tube preamp. Thanks for the responses. 

With the Adcom amp, I think you’ll enjoy the tube preamps that lean more on the "tubey" side of neutral. I have an Adcom GFA-555 that has been paired with my GFP-750 for many years and I recently bought an Aric Audio all-tube preamp for another system and I really like how it sounds with the Adcom amp. It gives it a nice lush and engaging tone, particularly in the midrange, that the Adcom preamp lacks. Some may say its not neutral but it just rounds off the edges without losing much detail. I think you’ll be delighted when you put a tube preamp in front go your Adcom and for $3K, especially used, you can get something real good.

Pretty simple choice.

1. Primaluna Prologue prem tube pre amp.
2. Denafrips Ares DAC.

The two items will come in just under your budget. The Ares is a giant killer of a DAC.

$3000 wouldn’t be split. $3000 will be preamp alone. Been reading a lot. Thought I would toss the question out with my current components. Could stretch it to $3500. 

I think you'll find your options very limited if you want a tube pre with a built in DAC. You need to decide how you want to allocate your $3K between the two components and then search for threads which discuss these pieces individually. Lots of tube preamp threads out there. 

Used:
Belles
Cary
Conrad j