Follow up. Paul McGowen does not know of a solid state speaker selector switching module.
I looked into them on ebay. Including the TC-7220 2-Way Amp Amplifier Speaker Selector Switch Switcher Splitter Combiner.
Several things bothered me,
-Their Switches. If there is going to be sound degrading it would be right there. Even on a 15amp toggle the contact surfaces are like millimeter.
-They tie the black negative leads together! Switch the red positives. Some solid state amplifiers use differential output drivers. Their black negatives are NOT common or ground to anything but their red +. They only like their + side.
-Internal wiring. Far from "audiophile". Another choke on quality. But an easy mod.
I could not see inside the TC-7220 to see if they keep the negative leads separate. I also suspect their switch too. Probably will work with the tube amp. I don't know about the Schiit.
What to do? Spend the bucks. Buy what has mostly you need and modify. Or build thy own from scratch.