Any reason it needs to be a tube amplifier? Not really much upside to tubes if you are looking for neutral... SS amps tend to have flatter frequency response most of the time. I have heard the Carvin TS100 is fairly flat as far as tube rack power amps go. It uses 6L6s which I would expect to be more neutral than ELxx fire bottles.
I am well aware of this. But due to the design of most rack tube power amps which are intended for guitar and in which strictly linear operation is not considered desirable, my point still stands wrt freq response. And actually, IMHO, even high fi tube amps are probably not ruler flat linear response by design. When people talk about "rich", "warm", etc for a high fi amp I would wager they are actually noting it being non-linear or skewed in its frequency characteristics somehow; which may be perfectly desirable from that listener's perspective.You can run valves in the linear region just as you can solid state devices, there are plenty of good quality stereo amplifiers based on valves, but there are no real advantages, a solid state device will probably be lighter.