Recommend me a tube integrated amplifier

I'm at a point where I'd like to try a tube integrated amplifier.

I currently have a Luxman L-509x driving a pair of Audio Note AN-K/SPx SEs.

I use a Marantz SA-KI Ruby CD/SACD player and a Technics SL1200Mk2 and AT-33SA LOMC for sources.

I also use a Rythmik E15HP/PEQ3 subwoofer to fill in the bottom end.

I listen mostly to jazz, classic rock at low to mid-level volumes, and my budget would be around $4k-ish used or new.

So, I'd like to get some recommendations for an integrated that would pair well with the AN-Ks.  Subwoofer connection mandatory either pre-outs or compatible for speaker level connection.  Phono pre inputs for MC desired, but optional.

No hybrids, high power not needed. No headphones either.  A remote would be nice, but I could suffer without one.

TIA