Thanks for the great tips! It looks like PS Tray Factory will fill the bill perfectly. Even more options than I could hope for. It looks like the last update was in 2010 but it works fine on Win7. $25 is a little steep for this trivial need, but hey, it supports a struggling coder!
I have been using PS Tray Factory for eons, and I love it. But one of its features is broken on Win7 x64. You do not want to try using the Application Minimizer. Don't even click the tab for it in the UI. (that's the feature that lets you minimize any app or window to the tray)









