I don't see any problem, unless the SS power amp has unusually high gain. In which case, a pair of inline attenuators at the power amp's inputs will fix you right up.
I actually have a related question. How would this do with power amps that need a bit more voltage to get up and going?
I've built some SissySITs (Google search will bring you to DIYAudio) and I believe they need an input voltage of about 3.7V for full power. Granted, I don't suspect it'll be often I run these amps near max output.
I also hope the BeePree 2 wouldn't pile on too much sugar on top of the already sweet-sounding SissySIT. You can see in the distortion spectrum that it's not all that different from some SET amps. I'm guessing this wouldn't be an issue at all (since it was designed with the Kaiju in mind), but just curious. I think I've read that the BeePree is mostly transparent with just a hint of some organic goodness injected into the music.