Hello mml2112, welcome to the forum.
I don't have an answer...just wanna find out whether or not you've done a forum search already.
This sounds like something that may have been discussed before (and probably provided a solution to).
As a guess, and from a theoretical perspective, I would think not.
How would MusicBee know how to match your itunes library to your MB library when they aren't identical to each other (in filenames, I'm assuming)?
I already spend hours on end on social media. Might as well spare a few of those to a greater purpose here.