Bi-amping with "split mono-blocks"?

Has anyone ever used a pair of stereo tube amps to bi-amp speakers in a configuration such that each speaker has it's own stereo amp driving both the upper and lower blocks?

I think this would have the effect of separating the channels effectively as if using monoblocks and also allowing a bi-amp configuration to the speaker.

FWIW, I'm running a Premier 11A into VR4JRs and I've have a desire to try bi-amping but I also want to try monoblocks. I thought that if I bought another Premier 11A instead of trading up to the Premier 12, I could have benefits of both biamping and monoblocks. The combined power of two Premier 11As would be about the same as a Premier 12. Also I'm thinking I could use KT90s on the bass path to get the extra I want there and use 6550s on the uppers to retain the sparkle that the KT90s seem to lack.

Any thoughts?