The only workaround i'd suggest is to open the "notification area icons" applet and set the "bluetooth tray application" setting to "hide icon and notifications". The only problem is that any HELPFUL messages will also be supressed. For instance, an incoming file request.
Answering over half a year later, but better late than never. It may help other people.
This answer is based on this blog post. It worked for me. In a very Linux-y style of doing things, it's based on editing configuration files rather than using a tool.
You need to edit two files:
In /var/lib/bluetooth/[your MAC address]/config, edit the line that starts with name.
In /etc/bluetooth/main.conf change the line with Name = %h-%d so that it reads only Name = %h, assuming you want to use your hostname as your bluetooth name (the %d adds a different index for each local bluetooth adapter, but you probably only have one). Using something else should work, but I haven't tried that myself.
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