I must have heard this intonation before, because I recognized it as vaguely familiar, but if so, it was a long time ago. It is unnerving and almost comical. It exhibits mild elements of upspeak, with its rising pitch in the end of a phonetic phrase (or whatever the proper term for speech segments between two longer pauses is), but the more remarkable feature is that by the end of a phrase, the speech slows down to some sort of drawl. As if the speaker is reading his speech, and it is broken into lines, and he pauses when he reaches the end of a line and takes the time to get to the beginning of the next one.
The speaker with this intonation in this recording is Jason Rodriguez: