2b, I do not believe that DAW is your answer.
I think you need one of three:
1)Specific drum VST instrument.
2)Drum kit for Kontakt player (there is a great free one, Sennheiser Drumica)
3)VST host such as SynthfontVST and a good SF2 GM drum kit.

P.S. Cakewalk used to have Drum set VST instrument (studio Drums), they probably still do, that you can plug to BIAB and use it to output midi drums instead of Coyote. If Cakewalk still has it, it should be included in the DAW download. Cakewalk is free. I am a big fan of the DAW for many reasons, one of which, is excellent community. So if you get lost, they will help you.