Thanks for sharing, @griffman. I like the way you've included a method to insert the symbols with the keyboard.
On the topic of palettes, here's an additional approach that you or others might consider...
I've found it convenient to create a hierarchy of palettes. My master palette is triggered using Hyper+a.
The master palette includes some frequently used macros and a few entries that open specialized palettes (all triggered using a single character).
One such palette is my symbol palette (triggered with s). It's a monster, but since it's opened using the versatile Show Palette of Macros action, it can include a custom layout and format.