Ok, preliminary digging around in the amp model pages has been interesting. I grabbed my trusty Strat and tried a few different things here and there, including the different preamp tubes. Dug out the three Trainwreck amp models and rolled preamp tubes. Switching to the 7025 in the Express did something nice with the mids that really brought out the gurgle in the Leslie. Tried different power tubes in the Rocket, settled on KT88 as the favorite. Dug up the Jumped Plexi, swapped the 5000pF bright cap for 330pF. Now it has good clean sounds with the channels set low, and is competing for my favorite clean! Tried different power tubes, found some interesting flavors. Ran out of time. Stopped playing at around 10:30 before someone called the police....
The only part of my original request left unsatisfied would be, I guess, a shortcut to be able to cherry pick each tab's settings from different models, so you could quickly switch to a different amp's output section, for example, and compare the differences while fresh in mind. You could screenshot and match settings to the pic, I suppose, but a little window similar to the tonestack picker on the preamp page to pick the power amp, power supply, etc., from different models would be a nice shortcut.