I have the Blue Yeti as well, using Adobe Audition, and I have the exact same problem. It's been a nightmare.
I've looked everywhere, and tons of people have had the exact same problem.
I tried buying a USB powered hub, and that didn't work. I tried turning off all other electronics and wireless signal emitters, and that didn't work. I also tried using another computer and going to another location, and that didn't work either.
The only thing that seemed to have an effect on the annoying high-pitched noise was changing USB cables. I tried using a shorter cable, and the whine was reduced, but it's still there and still very noticeable. I read about people who have used shielded USB cables to try to fix the problem, and they said this didn't work (though I haven't tried a shielded cable.)
This has been a nightmare. I'm just about to sell my Blue Yeti and just get another mic that doesn't suck.
UPDATE: So it turns out I've been using the wrong cable. I was using another USB cable, and I had thought it was the original that came with the Yeti, but it wasn't. I found the original cable and used it with the mic, and the whining is TOTALLY GONE (I also am using a USB powered hub so that might make a difference too). So I'd recommend try another cable and see if that makes a difference!