which hybrid integrated amp sounds the most like a full tube amp?

I have 805D4 in one of my systems and have run them with both a prima luna integrated- no problem at all, and an Audio Research REF75SE- great combo- and- the ARC btw doesn't really sound "tubey", it sounds clear with a big soundstage and plenty of bass. I also run them with an Odyssey power amp @ 150 rms. If you're looking for more warmth it may by more due to the speakers than the amp. The previous 805D3 I had were pretty dry and not very musical. The D4 cured that issue and now they're pretty neutral imo but other brands can give you more warmth. A Pass integrated or pwoer amp would be a great match for the 805D4, I had a 250.8 for a couple of years and it does have a "tubey" but punchy sound. 

I would keep things separate, and try a tube preamp. My path led me to Vintage, full featured, including two MM Phono inputs.

I start with a Chase RLC-1 remote line controller for remote volume, balance, and mute so I can retain everything wonderful from before remote control days..

A couple of thoughts for the OP:

You might consider the Vinnie Rossi Brama integrated. On the pricey side, though you didn’t specifically indicate a budget. I believe it meets all your criteria.

Had I not already been well down the road with T+A HV gear, it would have been on my must audition at home list. I’ve heard it at shows (terrible place to audition gear) and came away impressed enough that it would be a contender. Spectacular build quality and powerful enough to drive pretty much anything. 

On the warmish side of neutral and with the smoothness of tubes would be the T+A PA 3100 HV. While I’ve gone their separates route (a decision driven by purchasing their DAC w/ a preamp built in), I had one in system for a couple of years which i thoroughly enjoyed. Like the VR, spectacular build quality and enough power (and current) to easily drive anything. The T+A HV line has a warmer sonic quality than the Hegel. I’m familiar with the Hegel sound as I own one in a TV theater system. Great gear.  

@mgrif104 

++  ´´You might consider the Vinnie Rossi Brama integrated. On the pricey side, though you didn’t specifically indicate a budget. I believe it meets all your criteria. ´´

I had Vincent hybrid 736? I really liked... very musical, powerful and good value