Bi-amping with "split mono-blocks"?

What you are describing is vertical bi-amping. Theoreticaly you should get less interchannel cross talk and ergo better channel seperation. In addition you may somewhat limit each channel of each amp from covering as much of the frequency demands and ergo keeping each amp more stable. If there are sample to sample differences between amps they may be more readibly exposed. Doing this long term may put different demands on opposing channels of the same amp and the individual channels within the same amp may wear differently. When bi-amping in this manner you may have greater headroom at either end of the frequency extremes at the expense of straining the areas you may be more sensitive too. Your speakers will have a lot to do with many of these issues. Your amps may have a lot to do with these issues. This approach may allow for shorter cabling. The other approach would be horizontal bi-amping. Theoreticaly the amp(s) should have even more limited frequency demands and ergo be even more stable. Sample to sample differences between the amps may be less obvious. In this case the amps may wear differently from each other but are less likely to wear differently within from channel to channel. When bi-amping in this manner you may have more headroom in areas that you may be more sensitve too at the expense of less over all headroom. This approach may require longer cabling.Your speakers may have a lot to do with many of these issues. Your amps may have a lot to do with these issues. Mixing amps or tubes may be an advantage to compensate for different demands and allow for greater headroom in those areas that you may be more sensitive to at the expense of overall greater headroom. Mixing amps or tubes may cause muddling or discontinuance in the overall sound. Your speakers may have a lot to do with this. All in all there are pluses and minuses to all these approaches. It sure is worth a try. Cables may play a part in all this as well.

Sonds like an excellent idea to me, and also an excellent choise of amps--I too had 2. Go for it.
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Your idea will work and sound great. I've been doing this for a couple of years and am now using two pairs of monoblocks to drive my Salons with. The extra headroom is a big plus and according to Kevin Voecks at Revel, even thought there is not and electronic crossover, by biamping this way, the amps do see the circuit differently and work more efficently in this configuration than with using one stereo amp. In my experience, it is better to use the exact same isolatoin, amps, interconnects, etc., for vertical biamping to sound its best. Otherwise with a high rez system, the bass midrange and treble sound differently and not as coherent. Good luck!
Steven

I am using six stereo amps with all 12 channels actively driven. Each stereo amp is run as a mono-bloc though i.e. both channels of one amp sharing the load on the right bank of tweeters and both channels of an identical amp feeding the right bank of tweeters, etc... This same system using multiple other amps is utilized all the way down through the frequency range.

This approach increases channel separation by reducing crosstalk, improves dynamic range, increases headroom, increases control over the drivers via reduced sag in the power supply, improves sound quality by allowing the amps to stay in Class A longer due to the reduction in pull from any given channel via sharing the load, increases the damping factor by increasing the impedance that the amp would see as compared to only having one channel driving all of the drivers in that bank, etc...

In the future, i may end up going to a four way system, which will require two more stereo amplifiers and a crossover change. I think that this will give me even better performance, albeit at increased cost and complexity. Like anything else, the pursuit of excellence in any given category is met with diminishing returns and increased expense.

Other than that, you are on the right path and what you want to do should work out quite well. So long as you can find a way to gain match the individual amps to each other AND gain match the "hi" & "lo" channels of each amp, you should end up with the best of both worlds i.e. mono-bloc's that are voice-matched to your listening preferences through-out the frequency range. This is exactly what i did, but with the aid of an active crossover. Sean
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Sean, good point about letting the amps ride in class A longer. I suspect this may have a lot to do with improving the sound with multiple amps.