Try this:
With Toad not running, open Toad.ini with notepad (let me know if you want help finding it)
Remove these sections:
[PAGENAMES]
[PAGEORDERS]
[PAGESHOW]
This will reset Schema Browser object types to default.
I just tried it with the Base edition license and it works OK that way too for me.
If you still have problems please zip up and send me your user files folder. Directions on how to do that and my email address are here