As the title says, I have managed to get it working MB working under Wine on Linux. Having used Linux for a while I can say that there aren't any music managers around that are as good as MusicBee and with it not working previously it was one of the few things that I really came back to windows for. I have a new ArchLinux install however so decided to try and give it a shot and it worked. Wine 1.8rc4 is the version and it's all vanilla there, no wine-mono or wine-gecko etc. beign a 64bit computer I did have to remember to install the lib32-mpg123 but if you aren't working with Arch or Gentoo you may already have this installed. From there I just let the MB installer get the dotnet4 installer.
Just to list some of the oddities that are there:
Wavebar doesn't draw but is still there so seeking still works
You can play music from a CD but can't rip one, it comes up with the no cd loaded message
Encoder preferences don't work and trying to access them will crash MB. This holds true if you go through the normal options OR the cd options
Accessing MTP devices, if you want to sync your phone you are going to have to give Wine the driectory location in your linux system where it's mounted
I would make a guess here that CD burning also won't work but I don't have any blank disks to check. Everything else though seems to work, even the Music Bee Remote plugin.
Extra Note: The moment I installed the libcanberra-gstreamer, lib32-libcanberra and lib32-libcanberra-pulse packages the program stopped being able to run. After I removed them it ran again so something in one of those 3 is causing issues. If someone else tries and can't get it to work check if you have your distro's equivalents installed.