my 2 cents. I am in the process of building a similar setup, though with different drivers it is still a 4 way.
I agree with many here that an active digital crossover is the way to go.
Most other active DSP crossover has analog in, they then have a chain of having a DAC from your digital source (I assume) and the ADC into the crossover, and then DAC again back to analog to be amplified. That's a lot of conversions.
I went one step further to use a pure digital DSP, the minidsp DDRC88D. The advantage is that you feed SPDIF directly into the DDRC88D and the crossover is done directly in the digital domain. the DDRC88D then spits out 4x stereo SPDIF into your DACs.
However, the DDRC88D scheme does require a separate multi channel DAC, or many stereo DACs. Which can get costly. but since you already prepare to go through path of the Sony crossover, it probably still cost less! I managed to scramble a few existing DACs (who doesn't have a few?!) so I only need to buy one more.
the DDRC88D has 8 channel output and thus can handle 4 way. it also has a digital volume control so in theory you can, and I have tried, wiring the DACs directly into the power amps. This creates a very clean sound. In theory, you do lose some resolution for it being done in the digital domain. however, DDRC88D is supposed to process in floating point and it can output 96/24 so it is not that bad.
the whole chain is basically:
digital source --> DDRC88D crossover --> multi-ch DACs --> multi-ch power amp --> speakers
with only analog being after the DACs. I don't think you can get any shorter than that.