Ok, so I solved it.
I got my Alesis Nitro Mesh to control all my VST drumkits and here-s the guide to how to do it:
1. Download Midi-OX and verifythat indeed your Alesis Module is sending midi signal and that your computer is in fact recieving it.
2. Open up CbB, and start a new session.
3. Insert Kontakt (or whichever drum VST you want to use) as "Midi Source". Load your drumkit and assign a stereo output.
4. Set the input on the VST's Midi track to Alesis Nitro and the Outpu to an Alesis Drum Map. Any Alesis Drum Map. I chose Alesis HR16 just for F* sake.
5. Insert an audio track and set it's input to the Kontakt or VST output
Done.
Image of Step 3