Tube integrated with real bass. Does it exist?

Aronov LS-960I has done this with notable success for me for many years. Compared to today's high prices for The Right Stuff, this item falls into the used bargain category, perhaps the $1200 to $1500 range, as a guess.
When you check online mentions such as audioreview.com there will be comment about the uniquely wonderful bass performance.
Most importantly, there is realistic sound throughout the entire sound spectrum.

So something does exist. That's good. Modwright is mentioned quite often on this forum. They must be doing good things.
Two inputs are just enough - one for phono and one for deck. You can run digital through deck monitor if you have to have it.

Dorkwad,

The KWI-200 is a neat product, but entirely solid state, so it does not match the OPs criteria.

I took a look at the Modwright, it's transistor design not tube.

Cary CAD 120s amp, maybe bigger woofers is what you really need.