Hi irkregent,
I have already got several request to see list of all suggestions, instead of one, as an option.
My answer was: it was not done because of the performance reasons (it is slwer to only inform that more than one hint exist as collect them all in runtime during typing, without disturbing user).
In case if you see invert tooltip, that indicates that more than one hint exist, you can explicitly call Auto Completion list, with Ctrl+Space and select other options. Let say, in this case you "accept" possible delay.
Another option can be is : Tools->Options->Code Completion -> Open Completion automatically after. Enable it, and put relatively small timeout (500) and you will get full list completion during typing.
BR, Alex