When I want to install TeamViewer 10, why can't I select my system disk as the destination?
This might be a silly suggestion but if you select the "GlacJAY" drive and hit the down arrow key on your keyboard does the "Macintosh SSD" drive appear?

Unfortunately the Installer window can't be resized and with the current style of disappearing scrollbars, if there are more than three available disks it might not be obvious.