I've been triggering Everything (on WinXP) with Win+F using AutoHotkey.
The script uses Win+F as a toggle to show/hide Everything. It also starts Everything if it is detected that it isn't running.
You may need to modify:
1. The first line in the script, if you are using something other than Win+F.
2. The hotkey used (in Everything: Tools -> Options -> General) to Alt+Shift+F. If you want to use another hotkey, modify the one used by the script to match the combination you choose.
3. The path to Everything.exe, if it's something besides C:\Program Files\Everything\Everything.exe