Best integrated for PSB Imagine T2's

Yes, I understand. Sometimes you ask one thing and get so many different opinions covering the entire system. But that's not bad actually because the entire system must work as one, as one component, in a manner of speaking. Perhaps you are right to find the best integrated first and then maybe deal with the phono stage. Besides, that hypothetical integrated might have an onboard phono stage that will be just as good as what you have now or better.
Any Rogue Pharaoh owners? How good is the phono in there?
Your Blackbird cartridge, is it High Output or Low output?
Generally speaking of separate not onboard phono stages and assuming that msrp is about right, phono stage should be at least twice as expensive as the cartridge to get everything or almost everything out of the cartridge, in my opinion. In my own set-up it is about four times more expensive. When considering an integrated with onboard phono, one should be reasonably sure that the phono stage was not an afterthought, that the designer is indeed serious about vinyl playback. VAC, Gryphon are, Octave possibly too, not sure.

You see, phono stage is very very important, and I think your analog rig deserves better. You don't get everything out of it. No-one is saying that what you have is a bad phono, it is just..well..kind of okay. $1000 for a new phono stage is not much these days. 

I'll also mention Gryphon Atilla used though it's almost impossible to find. Gryphon now has two new integrateds - Diablo 120 and Diablo 300. Many say that there is no better transistor integrated amp than Diablo 300 and there never has been. This would be my theoretical choice for myself. As for tubes, it's more complicated, Octave, VAC, Manley could all work very well. There are other German tube amps that are worth considering as well. I would probably try Octave first.

I would probably first replace the phono stage, solid state or tube - it depends on your taste and compatibility with your future integrated amp. As for the integrated or the idea to replace the speakers first - both are valid approaches, I think. I'll just mention a few amps without knowing your taste or how exactly they would work with your speakers: Pass INT-60 used, Regdum RGi120 new directly from Australia, Manley Stingray new or used, Pass INT-150 used, Rogue Pharaoh new, Octave SE edition used.