I gotta agree with the others - a tri-amped system is much more complicated, but will provide you with a lot more flexibility. You seem to have the knowledge to make a good start; the rest is just a little research and a lot of tuning. They make a meter (can't recall the proper name right now) that will tell you how loud your system is at a certain frequency, which can be a big help in custom setups (feed the system some white noise and measure output at different freqs).
The main function of the xover in the speaker is to provide a balanced output from the drivers. A fixed, passive xover does not allow you to tune the drivers to your listening environment. Your proposed setup will allow you to fine tune the system at the cost of a more complicated system (shouldn't be a big deal for you). As others have mentioned, just make sure you keep your amp/xover params within the driver specs. (As a rule-of-thumb, drivers can handle frequencies higher than spec, but freqs lower than spec can burn up a coil. DC, especially to mid-range and tweeter drivers, is a big no-no.)
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