OK, I am starting to learn/understand now. You want SE because you feel it has better tone characteristics. I can go with that, subjective as it may be.
I am a novice and admittedly way out of my league here but I like to brainstorm with people like you who want to push the envelope and do unusual things. I find I learn the most when there is smoke in the room

If what I have read on the interwebs is accurate.... SE is supposed to sound better due to the even order harmonic distortion it produces in the output stage. So if even order harmonic distortion is your Holy Grail in tone, and SE amps are somewhat self limiting in output power when weight and size is a factor (you could build something like this
250W SE amp if weight isn't a factor
http://tubelab.com/prototypes/833-se/ ) then we might need to think outside the box.
Traditionally, I would say this is where a mic outside the small box and house amplification comes in, but I assume you are ruling that out for one reason or another.
The next option would be to figure out a way to amplify the tone of the SE amp without a house system. What if rather than using bigger output tubes, you went the other direction and used smaller output tubes that would give you your even order SE harmonic distortion at very low output levels and then ran that into a very low distortion solid state final stage within the amp? One of the organs I recently disassembled was a reed organ. (think giant harmonica) It used a small mic in an acoustically dampened enclosure to amplify the reeds through a SE tube amp. Perhaps this same principle cold be applied to mic the SE amp inside the box, capture its magical tone, and then amplify that signal using SS or a PP tube amp.
I guess this is where they round up a posse and burn me at the stake with hot tubes for blasphemy....