Oh okay. I burned it to a CD using Cakewalk, just like I've done for hundreds of prior recordings.  It just seems incredibly coincidental that this never happened when I was using my prior audio interface, and that the very first time it happened was also the first time that I had used the UFX.

I think I figured out what the problem is.  Previously, I've always recorded with a sample rate of 44.1 kHz, but when I got the UFX, I decided to try recording at 192 kHz. However, I didn't realize that a separate process for converting the sample rate from 192 to 44.1 would then be required. I think that failing to convert the sample rate is what caused the high speed, high pitch playback on the CD.

But from what I've read online since yesterday, there seems to be a lot of disagreement about how much improvement there would actually be from recording at a higher sample rate - some say it's worth it, but there are also lots of opinions saying that there's only a tiny difference in terms of sound quality with the higher sample rates.  And in addition, there seems to be some concern about a potential loss of sound quality resulting from the conversion process itself.  Unfortunately, I didn't come across anything that seemed definitive in terms of resolving the issue - just a lot of folks putting in their two cents' worth.