Here's a 'left of centre' solution.

I am running BB in a VMWare virtual machine. If you start BB when the VM is in a window the size you want (not maximised), BB will maximise to fill that window. You can use it like that (I am actually running the VM under linux), or even maximise the VM. BB will still have it's chords sized for the small window, so you can then put other stuff on the spare desktop space to the right.