Hello! I’m on the opposite end of this issue, where our Avid will not import the Quicktime file. I believe the issue is the Quicktime Codecs on the PC version. The Avid will import files with the Codecs that are installed in Quicktime, but several of them are apparently not the same (despite the name) when they come out of Final Cut Pro. Hence the audio works, but the video is blank.
If the project is not too long, you could try exporting with the “None” codec, which works well for 60 second things, maybe up to a few minutes. If Sorensen 3 is available, I like that one as well. Good luck!