While this is an intriguing experiment and I'd love to see how it turns out, I feel compelled to say that this is probably not a very good idea unless you absolutely need your entire library available to you wherever you may be. There's going to be a lot of unnecessary data flying back and forth, and musicbee is not really set up to wait for access to music files in the event that there is a momentary glitch in access or something. It expects files that it accesses to be readily accessible. What I'm saying is that things may be technically possible that aren't necessarily wise.
That said, let us know how it turns out if you decide to do it.
A smile is happiness you'll find right under your nose.