Yeah, now that I understand your need a little better Maschine might not be what you want -- I'm not sure how operating 16 MIDI channels independently with it would work. It probably can do it, but I think you'd need to insert a plugin wrapper from your DAW into Maschine via VST.
Maybe all you need is something like Arturia Beatstep? They are only about $100, pretty barebones sequencing fare, I think you would only use the software to configure it in that case.
https://www.youtube.com/watch?v=B5xUzqT37wk