I think this discussion could go on forever as to what's the best power amps, there is too much that is directly related to an individuals personal experience along with likes and dislikes.
Simple generalizations that have worked well for me:
1. General rule for me is a 100 watt tube power amp is roughly equal to 2000-3000 watt solid state power amp, depending on the manufacturers of each.
2. Solid state amps are specifically designed in such a way so they are extremely "transparent" and will amplify sound with a LOT of headroom and without noticeably "coloring" the sound.
3. Most FRFR speakers are designed in such a way as to not distort the signal that is sent to it and send out a "full range" of frequencies as long as the speakers are used within the recommended specifications.
4. Guitar speakers and cabinets are specifically designed to color tone in a very specific way!!!
5. Guitar power amps are specifically designed to color tone in a very specific way!!!
The above generalizations make my choices reasonably simple.
Condition 1: Using Axe-Fx and going direct to board, using power amp sim, using cabinet sims.
No power amp or speaker cabinet is needed, that is all controlled by the PA system and your personal PA monitor.
If stage volume is needed see following conditions.
Condition 2: Using Axe-Fx, NOT using power amp sim, NOT using cabinet sims.
Use a guitar tube power amp of your choice and a standard guitar speaker cabinet of your choice - choice depends on the sound you want.
Condition 3: Using Axe-Fx, using power amp sim, not using cabinet sims.
Use a Solid state amp (or completely transparent tube power amp) and a standard guitar speaker cabinet of your choice - choice depends on the sound you want.
Condition 4: Using Axe-Fx, using power amp sim, using cabinet sims.
Use a Solid state power amp (or completely transparent tube power amp) and FRFR speakers.
Condition 5: Using Axe-Fx, NOT using power amp sim, using cabinet sims.
I think this condition doesn't make much sense.
As we all know, solid state amps and tube amps are not and never will be created equal, PERIOD!!! Some tube amps are MUCH better at "transparency" than others, some solid state amps have more headroom than others. I own a Carvin tube powered TS100 power amp; it is very reliable, has loads of headroom and it is VERY transparent until you get the volume(s) turned up to about 75% or higher and truthfully the coloring of the tone past that point is most likely coming from pushing the speakers hard. I also own a couple of Carvin DCM series solid state power amps and get the superb transparency, loads of headroom, high quality sound amplification, and low maintenance. I have begun to turn my back on guitar tube amplification, probably forever.
The key is to figure out exactly how YOU want to amplify your Axe-Fx and get the components that work best for you and fall within your budget. I'm guessing that since you are already an Axe-Fx owner, you can probably find a way to save for GOOD power amp and speaker equipment components to meet your needs. Just like with tube powered guitar amplifiers, you might have to try a couple of things before you get exactly what you want. Generally speaking, just like with the Axe-Fx you get what you pay for.