I'm in a similar boat with something far more traditional. I'm attempting to transcribe Willie Dixon's upright bass line in "Johnny B. Goode" - his intonation can be hard to pick out at times.
My approach is thus:
1. Open track in a sound editor like Audacity or Cool Edit Pro or whatever.
2. Find out what the keyboard shortcut is for "Add Cue".
3. Play the track & hit "Add Cue" at the start of each measure.
4. Save the track in a format that will retain the Cue markers (for CE Pro it's *.wav)
5. Loop each measure until you're happy that you've got it down.
Can't help on how to score things like Quartertones, but I've all but given up on attempting to nail the little rhythmic twists & turns I hear from Mr Dixon - sure it's possible, but I draw the line at 32nd rests in a tune (I'll file those under the blanket banner of "interpretation"

).
I guess you just have to get as close as you can - Notation isn't a perfect recording medium.
Pete.
I don't think that Notation is a perfect means of "recording". It's pretty damn good, but falls short in the expression department.