OK, some new information. I've solved the problem, but I'm not sure why I had to do it this way, and this seems like a good candidate for an authoritative answer on the best practice here.
By Selecting
Process - Length... I was able to adjust the tempo of my audio tracks. (Oddly, the stretch audio selection of Radius Solo fared better than Radius Solo (Vocal), even though these were vocal tracks. Whatever.) Anyway, if I adjusted the tempo of
each clip separately, then everything was fine. If I tried to save time by selecting multiple clips and adjusting the length all at once, trouble ensued. Also, if I bounced clips to a single clip and then tried adjusting tempo, things also went haywire in terms of timing.
My foggy understanding of this is that since I had adjusted the project tempo
before changing the clip length, somehow that messed things up, because adjusting the tempo moves clips to the same measure-based starting point in the timeline. So, though it is done now, what I should have done as fas as I can tell is bounce the audio clips first, and only then change the tempo, and lastly alter the (now bounced) clip length. Right?