Thanks for all of your suggestions so far, and don't worry carlsbad2, it's not a troll. Here's a bit more background:
Decades ago I had a top-flight olive Naim system with Royd Albion speakers, and I discovered that PRaT is a crucial element to me, more so than tonality, soundstage, etc. I enjoy all those other things too, but not at the expense of rhythmic engagement.
I eventually started building my own solid stage power amps, and have moved entirely away from Naim gear. I still demand the same rhythmic qualities from my systems, though. My main system has the Klipsch Cornwall IV, which I love for its ability to handle fast transients and create a sense of scale and "being there". As is often the case with the Cornwall, it's up against the wall. This makes the soundstage less 3D, but again, I don't mind that too much.
One day I was listening to my system, and I felt that it was a bit "thin" sounding, and I wondered if I could scratch this itch for more tonal richness, I was strongly encouraged to get a tube power amp (or integrated), which would purportedly do a much better job with the Cornwall IV. I acquired the Cary SLI-100 integrated, and I enjoyed how it sounded. It retained the rhythmic drive that I need, while also filling out the sound.
However, it bothered me that I couldn't use the many power amps that I had built. Amongst the earlier conversation encouraging a tube power amp, some urged that a tube preamp with a solid state power amp would do just as well or better.
I tried the Cary SLP-2002 with some of my amps, and I preferred that sound, and I was able to resume with the fruits of my DIY labors. Much like the SLI-100 integrated, this preamp from Cary had strong rhythmic strengths.
Then I got the opportunity to get the SLP-05, and took the plunge. I was disappointed to discover that it sounded so laid bad. It was spectacular in most respects, but completely boring rhythmically. So now I'm trying to determine if rolling tubes will get more life out of it.
It comes with eight Electro Harmonix 6SN7 tubes (2 input, 4 driver, and 2 headphone). I just tried a pair of EH Gold for the input tubes that I had, and that boosted things a bit, but we're up to perhaps 20% of what I want.
Some of my research has suggested that the rectifier tube will have the biggest impact on handling of transients, although some posts above refute that. Regardless, I've arrange to pickup a Mullard GZ34 5AR4 (with either the 4 or 7 notch plates, I haven't decided). We'll see what it does.
After that, I'm not sure how to proceed. I could try switching off the 4 driver tubes as well, but some comments above suggest that what I want isn't possible from the Cary SLP-05.