Chris,
In answer to your questions, you could indeed use miniDSP + miniAMP in the configuration you described (tweeters on the miniAMP, Bass on the miniDSP), but it would however require a specific plug-in for this special configuration. If you look at the plug-in page, you'll notice that the 2.1 PEQ/Advanced has the routing you need (i.e. bass on I2S 1&2, High on I2S 3&4).
As for the power down, you can indeed use is a turn off to put the amp in power down mode. Using a relay to toggle between open (power down) and closed (operating mode), will get you there.
Hope this makes sense,