Avalon

@RZADO Thanks for your response. I was afraid someone was going to nudge my amp choice into upgrade mode.

Thank you all for advice here — and yes, it did take me an unusual amount of time to get back to this thread.

@rzado ADO — I have come to the conclusion that although the Rogue is a great and wonderful bargain in an amp, it may not be the best for the Eidolons. ...Sheesh, what a great hobby, eh? Never bypass an opportunity to tweak your sound. ...I am now looking at a new amp, perhaps Ayon Audio Triton III. I can not say enough about my Ayon CD-07, that really sold me on Ayon.

@reynolds853 — I have had great success with PS Audio PowerPlants, and yes I did install one into this system in question. Happy with that and completely convinced (once again) that power isolation/regeneration is a key to great audio.
The Rogue is running:
    4 x Tung Sol KT120
    3 x RCA clear tops 12AU7A
    2 x 12AX7 (not sure which tubes are in it right now...)
When I bought it second hand, the fellow who sold it to me gave me a mess of additional tubes to roll. Thats fun with this amp, plus the biasing is something every audiophile should do at some point).This is my first tube amp, and I was delighted (still am, it sounds great) but you know we congregate on audio forums for a reason: we ain't never satisfied for too long... 
This system is in my living room, I have two other systems at home — those both use Parasound amps... which are dead dead —dead I say— quiet. The Rogue is not dead quiet, which has set me upon my course toward a black background in the tube world. Am I nuts? (Yes, because you can't hear any noise at normal listening levels, only when there is no signal and you stick your ear into the speaker...)
So, I love the feel of tubes, and the Rogue is a great intro to this world. What next?

@rzado The price of the Ayon Audio Triton III (pristine demo unit) was "too good to pass up"...

Well, yesterday the FedEx truck came. The Ayon Triton III box weighed 133 pounds. I had help from the FedEx guy in getting the box into the front hall but from there...

It has been cold here and once I managed to lift the amp out of the box (when lifting it, its an ungainly monster that is back-side heavy) I let the electronics acclimate to the house for several hours. I also made a high-end zip-wire set of speaker cables and hooked it up to a set of nice but sacrificial Energy speakers. (I'm going to try to keep my Avalons from blowing up with new gear.) After the right amount of anticipation: The switch was flipped! 

I am quite happy with the initial results, so much that it only took another two hours to replace the Rogue amp with the Ayon!

OK, so now things sound great ...mids and highs are well articulated and in triode mode sound very well defined and airy. Bass is big, very big on big bass tracks.
I am running AntiCables Level 3 ref from the amp to the speakers. These cables are solid copper (shotgun approach w/2 12 AWG conductors for each + and - per side).
The Rogue amp did not produce this amount of bass, but with the exact same setup, the Ayon Triton III produces lots of bass. I have a limited ability to pull the speakers forward from the back wall (to reduce the bass) and when I do it alleviates the amount. ...But cables may help also.
What do you think about an approach using silver per the tempo electric/vinyl tourist "Big Twist" recipe? For my cable length that would mean two 12 AWG silver conductors per side, each in an oversized Teflon jacket, terminated bare on both ends. The price is great for this versus a Cardas circus or similar ilk "maintain the Mercedes for 3 years" cost. 

@reynolds853 Hi there. The spikes is a good point, as I deliberately have avoided them: I will try that now, thanks.
The Triton III integrated actually sounds far better than my post indicated. I think that my prior experience was not compatible with the tubes in question. In reading up on KT88s in triode mode, I think I am hearing something I was not ready for when I responded. I now like the bass!

I will continue to survey triode & pentode modes via a range of familiar music. This is a pretty major change for my listening experience. (Its not a hobby, eh ... more like an adventure.)

Thanks all for comments and your many interesting points ...which I have been working through as I can. Here is an update on where I am and what I am thinking as a tourist in these here parts...

I was not prepared to be so surprised by this amp. It has reset my understanding of reproduced music. It is one thing to hear a great setup somewhere else, but once you spend a few hours listening to gear you have the time to come to a much clearer understanding. There are two standouts in the past week or so. First, the detail and sound stage are clear and well defined beyond my previous personal experience. Second, I have (over about 2 days) gotten to understand that the bass really is there, it just wasn't coming out anywhere as well as with the Ayon and the KT88s ...which seem to be very friendly in the bass and lower mids.

I visited PS Audio in Boulder this past August 2015 and listened to Paul's Infinity IRS 5 speakers powered by PS Audio monos. Yes, it sounded great but my point is that you really get to understand a system by listening to it over time and tinkering with placement and components. My experience doing that with my previous systems did not prepare me for the leap I have just made. Its a big jump up from the Rogue (still love that amp, but...)