I’m not really sure I understand what you want to achieve. You want to send some random notes to the OT and then have control over which of these notes get played and which not? Kind of a filter?
You can totally do that, but there’s caveats.
I can see two options for what you want to achieve (if I have understood that correctly, that is).
Option 1: play stem tracks or even a full-length backing track
In this scenario you’d render out your Ableton project as either one WAV file or a set of WAV files (eg. one for drums, one for bass, etc.)
Cuckoo has a good video about this here: https://www.youtube.com/watch?v=ZJp23bq1FdE
But that’s just one way of doing this. You can also use one-shot trigs on tracks.
You can do several things with this appraoch: playing the mixer is one, i.e. you can fade parts in and out or mute/unmute tracks, if that’s your kinda thing.
Another thing would be FX processing and resampling. It’s relatively easy to set up a track to record the master or CUE output and then slice and dice that to your liking. The OT’s fader is your friend here, but you can also attach an external MIDI controller for more control.
I would probably try and keep everything in one part. I find that parts are not great when you do this kind of stuff, for reasons which I can get into if you want, but won’t for now, since it’s a lengthy topic.
Option 2: export individual loops/parts and recreate the track on the OT
This is probably the more flexible, but also more work-intensive option. Basically you can export individual loops, phrases, or even samples and recreated the whole set on the OT. The Arrangement mode can be very powerful to make complex tracks but still offer live-tweak-ability. Make sure you check that out. This is more or less what I have done for my live performances with kvsu. A lot of the material I performed live was just exported from Ableton and then recreated on the OT as an arrangement.
Personally I don’t find any of these two methods very satisfying, since it always feels more like playback than performance. But that’s a very personal thing. I remember there was quite a long and interesting discussion here on the forums about this…
Anyway. My personal view on the OT is that it’s a great instrument for live sampling and looping, but less for just playing back longer samples in the background (also not sure I’d spend that money to do just that). Some people do great shows by just putting their backing tracks on cheap MP3 players or tape recorders. Depending on your style of music, a couple of those, a good mixer and some cool FX pedals could do the same trick for a lot less money.