I've really inspected the rim and tire as extensively as I can, and many times, as I've had like 10 punctures now. The rim tape seems to be the perfect width, not moving around, and the rim doesn't have any sharp edges. My only thought is the rim hole, but the punctures occur a few cm's away, so it seems unlikely the tube is going into the hole.
I guess the next diagnostic step should be to put in one of the Vittoria latex tubes I have and see what happens. Day two with the butyl tube in the wheel and no issues. And, rode my other bike, which has the Vittoria (instead of Vred) tubes, today. No issues.
I really inspect the heck out of the tubes upon installation, that is why I'm so confused by all the failures.