Not sure if this would work but might be an interesting experiment with the Mix Recall Export function.
Mix Recall allows for each mix snapshot to be export in one function.
If MixRecall snapshots obey Take Lane Mute/Solo status or Clip Mute status then you could just go through and take a MixRecall Snapshot of each take soloed/unmuted then export all of the MixRecall snapshots.
That of course is completely hypothetical.
The easiest and and most reliable way to do this would be to:
1) do a SaveAs (so you aren't mangling the original project)
2) do a bulk clone of the track (setting the Clone dialog to create as many clones as there are takes)
3) go through each of the clones soloing the take lanes sequentially one at a time (T1, T2, T3, etc)
4) Select the tracks
5) Export and in the Export dialog choose the Tracks option making sure only the accordian tracks are selected
This will export a speparate wave for each. If they are mono source make sure you choose the mono export (default is stereo).
You probably already know that and the cloning is likely part of what you wanted to avoid but it shouldn't take long. It's a lot quicker than exporting one at a time.
Cheers.