I ran the mini DSP HD 2x4 for a long time. It's got 4 outputs per channel, so a 3 way crossover is no problem.
Before we get to the drivers, do you have a way to measure the speakers output? That's going to help you far more than looking at the printed parameters (which are often wrong, sometimes by a lot). Best thing to do is get the drivers you want, mount them in the baffle you want and then measure them.
Are you planning to use the miniDSP as the crossover design testbed, and then move on to passive parts once you have dialed in a good crossover point? That's what I'd recommend. IME good quality passive parts always sound better than leaving it fully active.