To get the UI back you would just have to "re-open" the program, like double-clicking the desktop shortcut.
Yes, it hides the icon, but I just don't like to see dozens of icons of applications hidden in the notification area. In my case, I only need to configure KeepAliveHD once and then I can forget about it. I don't see the need to have the icon there, and if I
have many icons there it's also sometimes confusing to find what I want.
Another option would be to install the software as a system service, like someone already suggested.
I don't know if you are familiar with StartIsGone (http://winaero.com/comment.php?comment.news.215
), which is a little app that removes the start button on Windows 8.1. On v2.0 the
dev added an option to the software that is essentially the same thing I'm asking here ("Added tray context menu option to hide the tray icon").
Anyways, this is just something that would make the program perfect for me, and perhaps for other people as well, but the program is perfectly fine as it is. It was merely a suggestion.